Though atomic decomposition is a very useful tool for studying the boundedness on Hardy spaces for some sublinear operators,untill now,the boundedness of operators on weighted Hardy spaces in a multi-parameter setting...Though atomic decomposition is a very useful tool for studying the boundedness on Hardy spaces for some sublinear operators,untill now,the boundedness of operators on weighted Hardy spaces in a multi-parameter setting has been established only by almost orthogonality estimates.In this paper,we mainly establish the boundedness on weighted multi-parameter local Hardy spaces via atomic decomposition.展开更多
Body misperception plays an important role in the development of weight and dietary disorders among children and adolescents.A school-based health promotion program(2014-2015)was conducted to promote the school health...Body misperception plays an important role in the development of weight and dietary disorders among children and adolescents.A school-based health promotion program(2014-2015)was conducted to promote the school health education and improve the teenagers'physical health among Chinese children and adolescents.Based on this program,we intended to examine weight status and weight misperception among Chinese children and adolescents and to explore the relationship between weight misperception and lifestyle behaviors.A total of 10708 Chinese children and adolescents in 3rd and 7th grade from Shandong and Qinghai province participated in the program.The participants,dietary and activity patterns were clustered by latent class analysis(LCA).Logistic regression analysis was undertaken to explore the relationship between weight perception and demographic factors or dietary and activity patterns.Given the gender-specific difference of children and adolescents,analyses were separately conducted among boys and girls.The total prevalence of weight misperception was 44.50%.Boys,especially those in higher grade and living in wealthier district,were more likely to misperceive body weight.Girls were more likely to overestimate their weight(26.10%)while boys tended to underestimate the weight(28.32%).Three latent dietary and activity patterns including obesogenic pattern,malnourished pattern and healthy pattern were derived.The participants who had weight misperception were more likely to choose unhealthy dietary and exercise activities.The high prevalence of weight misperception was closely related to the unhealthy weight pattern and unhealthy dietary or exercise patterns.Our research found that most children and adolescents failed to perceive their weight correctly and boys tended to underestimate their weight while girls were subjected to overestimation.So,comprehensive intervention programs should focus on improving self-weight awareness,and appropriate guidance should be made to lead the adolescents to more healthy weight pattern.展开更多
Credit risk is the core issue of supply chain finance. In the supply chain, problems happened in different enterprises can influent the whole to different degrees through transferring, thus statuses of all enterprises...Credit risk is the core issue of supply chain finance. In the supply chain, problems happened in different enterprises can influent the whole to different degrees through transferring, thus statuses of all enterprises and their different influences should be considered when evaluating the supply chain’s credit risk. We examine the characters of supply chain network and complex network, use the local growing complex network to simulate the real supply chain, use cluster analysis to classify the company into several levels;Introducing each level’s self-adaption weight formula according to the company’s quantity and degrees of this level and use the weight to improve the credit evaluation method. The research results indicate that complex network can be used to simulate the supply chain. The credit risk evaluation (CRE) of an enterprise level with bigger note degrees has a greater weight in the supply chain system’s CRE, thus has greater effect on the whole chain. Considering different influences of different enterprise levels can improve credit risk evaluation method’s sensitivity.展开更多
This manuscript addresses Muckenhoupt Ap weight theory in connection to Mor- rey and BMO spaces. It is proved that a; belongs to Muckenhoupt Ap class, if and only if Hardy-Littlewood maximal function M is bounded from...This manuscript addresses Muckenhoupt Ap weight theory in connection to Mor- rey and BMO spaces. It is proved that a; belongs to Muckenhoupt Ap class, if and only if Hardy-Littlewood maximal function M is bounded from weighted Lebesgue spaces LP（w） to weighted Morrey spaces Mpq（ω） for 1 〈 q 〈 p 〈 ∞. As a corollary, if M is （weak） bounded on Mpq（ω）, then ω∈Ap. The Ap condition also characterizes the boundedness of the Riesz transform Rj and convolution operators Tε on weighted Morrey spaces. Finally, we show that ω∈Ap if and only if ω∈BMOp＇ （ω） for 1 ≤ p 〈 ∞ and 1/p ＋ 1/p＇ = 1.展开更多
In this work we prove the weighted Gevrey regularity of solutions to the incompressible Euler equation with initial data decaying polynomially at infinity. This is motivated by the well-posedness problem of vertical b...In this work we prove the weighted Gevrey regularity of solutions to the incompressible Euler equation with initial data decaying polynomially at infinity. This is motivated by the well-posedness problem of vertical boundary layer equation for fast rotating fluid. The method presented here is based on the basic weighted L;-estimate, and the main difficulty arises from the estimate on the pressure term due to the appearance of weight function.展开更多
In martingale setting, it has been shown thatA p weights can be factorized in terms ofA 1 weights. This factorization benefits many problems very much. In this paper, the new class of RH∞ plays the same role for RH s...In martingale setting, it has been shown thatA p weights can be factorized in terms ofA 1 weights. This factorization benefits many problems very much. In this paper, the new class of RH∞ plays the same role for RH s , which makes the reverse H?lder inequalities hold with exponents>1, that the classA 1 does forA p class. Therefore, the Jones' factorization theorem forA p weights was extended to include some information about the reverse H?lder classes. And it is the most convenient object in weight theory indeed. Key words martingale space - minimal function - weight inequality - reverse H?lder class CLC number O 221. 4 Foundation item: Supported by the National Natural Science Foundation of China (19771063)Biography: Zuo Hong-liang (1976-), male, Ph. D candidate, research direction: martingale theory.展开更多
We consider the Schatten class weighted composition operators on the Bergman space of the unit ball. The main result is several necessary and sutfficient conditions for such kind of weighted composition operators belo...We consider the Schatten class weighted composition operators on the Bergman space of the unit ball. The main result is several necessary and sutfficient conditions for such kind of weighted composition operators belong to the Schatten-Von Neumann ideal Sp. As a corollary, we now have that Wφ,ψ is a Hilbert-Schmidt operator if and only if ∫Bn │ψ（w）│^2/（1-│φ（W）│^2）^n＋1 dV（W）〈∞展开更多
We study discretization in classes of integro-differential equationswhere the functions aj（t）, 1 ≤ j ≤n, are completely monotonic on （0, ∞） and locally integrable, but not constant. The equations are discretize...We study discretization in classes of integro-differential equationswhere the functions aj（t）, 1 ≤ j ≤n, are completely monotonic on （0, ∞） and locally integrable, but not constant. The equations are discretized using the backward Euler method in combination with order one convolution quadrature for the memory term. The stability properties of the discretization are derived in the weighted 11 （p; 0, ∞） norm, where p is a given weight function. Applications to the weighted l^1 stability of the numerical solutions of a related equation in Hilbert space are given.展开更多
文摘Though atomic decomposition is a very useful tool for studying the boundedness on Hardy spaces for some sublinear operators,untill now,the boundedness of operators on weighted Hardy spaces in a multi-parameter setting has been established only by almost orthogonality estimates.In this paper,we mainly establish the boundedness on weighted multi-parameter local Hardy spaces via atomic decomposition.
基金This study was supported by grants from the National Natural Science Foundation of China(No.81573262)the Fundamental Research Funds for the Central Universities,HUST(No.2016YXZD042).
文摘Body misperception plays an important role in the development of weight and dietary disorders among children and adolescents.A school-based health promotion program(2014-2015)was conducted to promote the school health education and improve the teenagers'physical health among Chinese children and adolescents.Based on this program,we intended to examine weight status and weight misperception among Chinese children and adolescents and to explore the relationship between weight misperception and lifestyle behaviors.A total of 10708 Chinese children and adolescents in 3rd and 7th grade from Shandong and Qinghai province participated in the program.The participants,dietary and activity patterns were clustered by latent class analysis(LCA).Logistic regression analysis was undertaken to explore the relationship between weight perception and demographic factors or dietary and activity patterns.Given the gender-specific difference of children and adolescents,analyses were separately conducted among boys and girls.The total prevalence of weight misperception was 44.50%.Boys,especially those in higher grade and living in wealthier district,were more likely to misperceive body weight.Girls were more likely to overestimate their weight(26.10%)while boys tended to underestimate the weight(28.32%).Three latent dietary and activity patterns including obesogenic pattern,malnourished pattern and healthy pattern were derived.The participants who had weight misperception were more likely to choose unhealthy dietary and exercise activities.The high prevalence of weight misperception was closely related to the unhealthy weight pattern and unhealthy dietary or exercise patterns.Our research found that most children and adolescents failed to perceive their weight correctly and boys tended to underestimate their weight while girls were subjected to overestimation.So,comprehensive intervention programs should focus on improving self-weight awareness,and appropriate guidance should be made to lead the adolescents to more healthy weight pattern.
文摘Credit risk is the core issue of supply chain finance. In the supply chain, problems happened in different enterprises can influent the whole to different degrees through transferring, thus statuses of all enterprises and their different influences should be considered when evaluating the supply chain’s credit risk. We examine the characters of supply chain network and complex network, use the local growing complex network to simulate the real supply chain, use cluster analysis to classify the company into several levels;Introducing each level’s self-adaption weight formula according to the company’s quantity and degrees of this level and use the weight to improve the credit evaluation method. The research results indicate that complex network can be used to simulate the supply chain. The credit risk evaluation (CRE) of an enterprise level with bigger note degrees has a greater weight in the supply chain system’s CRE, thus has greater effect on the whole chain. Considering different influences of different enterprise levels can improve credit risk evaluation method’s sensitivity.
基金supported by National Natural Science Foundation of China(Grant No.11661075)
文摘This manuscript addresses Muckenhoupt Ap weight theory in connection to Mor- rey and BMO spaces. It is proved that a; belongs to Muckenhoupt Ap class, if and only if Hardy-Littlewood maximal function M is bounded from weighted Lebesgue spaces LP（w） to weighted Morrey spaces Mpq（ω） for 1 〈 q 〈 p 〈 ∞. As a corollary, if M is （weak） bounded on Mpq（ω）, then ω∈Ap. The Ap condition also characterizes the boundedness of the Riesz transform Rj and convolution operators Tε on weighted Morrey spaces. Finally, we show that ω∈Ap if and only if ω∈BMOp＇ （ω） for 1 ≤ p 〈 ∞ and 1/p ＋ 1/p＇ = 1.
基金supported by NSF of China(11422106)the NSF of China(11171261)+1 种基金Fok Ying Tung Education Foundation(151001)supported by“Fundamental Research Funds for the Central Universities”
文摘In this work we prove the weighted Gevrey regularity of solutions to the incompressible Euler equation with initial data decaying polynomially at infinity. This is motivated by the well-posedness problem of vertical boundary layer equation for fast rotating fluid. The method presented here is based on the basic weighted L;-estimate, and the main difficulty arises from the estimate on the pressure term due to the appearance of weight function.
基金Supported by the National Natural Science Foundation of China(19771063)
文摘In martingale setting, it has been shown thatA p weights can be factorized in terms ofA 1 weights. This factorization benefits many problems very much. In this paper, the new class of RH∞ plays the same role for RH s , which makes the reverse H?lder inequalities hold with exponents>1, that the classA 1 does forA p class. Therefore, the Jones' factorization theorem forA p weights was extended to include some information about the reverse H?lder classes. And it is the most convenient object in weight theory indeed. Key words martingale space - minimal function - weight inequality - reverse H?lder class CLC number O 221. 4 Foundation item: Supported by the National Natural Science Foundation of China (19771063)Biography: Zuo Hong-liang (1976-), male, Ph. D candidate, research direction: martingale theory.
基金the National Natural Science Foundation of China(10471039)the Natural Science Foundation of the Education Commission of Jiangsu Province(03KJD140210,06KJD110175)the Natural Science Foundation of Xuzhou Institute of Technology(KY200508).
文摘We consider the Schatten class weighted composition operators on the Bergman space of the unit ball. The main result is several necessary and sutfficient conditions for such kind of weighted composition operators belong to the Schatten-Von Neumann ideal Sp. As a corollary, we now have that Wφ,ψ is a Hilbert-Schmidt operator if and only if ∫Bn │ψ（w）│^2/（1-│φ（W）│^2）^n＋1 dV（W）〈∞
基金supported by National Natural Science Foundation of China(Grant No.10971062)
文摘We study discretization in classes of integro-differential equationswhere the functions aj（t）, 1 ≤ j ≤n, are completely monotonic on （0, ∞） and locally integrable, but not constant. The equations are discretized using the backward Euler method in combination with order one convolution quadrature for the memory term. The stability properties of the discretization are derived in the weighted 11 （p; 0, ∞） norm, where p is a given weight function. Applications to the weighted l^1 stability of the numerical solutions of a related equation in Hilbert space are given.
