In this paper,we investigate sufficient and necessary conditions such that generalized Forelli-Rudin type operators T_(λ,τ,k),S_(λ,τ,k),Q_(λ,τ,k)and R_(λ,τ,k)are bounded between Lebesgue type spaces.In order t...In this paper,we investigate sufficient and necessary conditions such that generalized Forelli-Rudin type operators T_(λ,τ,k),S_(λ,τ,k),Q_(λ,τ,k)and R_(λ,τ,k)are bounded between Lebesgue type spaces.In order to prove the main results,we first give some bidirectional estimates for several typical integrals.展开更多
This paper is devoted to solving a reflected backward stochastic differential equation(BSDE in short)with one continuous barrier and a quasi-linear growth generator g,which has a linear growth in(y,z),except the upper...This paper is devoted to solving a reflected backward stochastic differential equation(BSDE in short)with one continuous barrier and a quasi-linear growth generator g,which has a linear growth in(y,z),except the upper direction in case of y<0,and is more general than the usual linear growth generator.By showing the convergence of a penalization scheme we prove existence and comparison theorem of the minimal L^(p)(p>1)solutions for the reflected BSDEs.We also prove that the minimal Lpsolution can be approximated by a sequence of Lpsolutions of certain reflected BSDEs with Lipschitz generators.展开更多
In this paper,for 1<p<∞,the authors show that the coarse l^(p)-Novikov conjecture holds for metric spaces with bounded geometry which are coarsely embeddable into a Banach space with Kasparov-Yu’s Property(H).
The precise L^(p) norm of a class of Forelli-Rudin type operators on the Siegel upper half space is given in this paper.The main result not only implies the upper L^(p) norm estimate of the Bergman projection,but also...The precise L^(p) norm of a class of Forelli-Rudin type operators on the Siegel upper half space is given in this paper.The main result not only implies the upper L^(p) norm estimate of the Bergman projection,but also implies the precise L^(p) norm of the Berezin transform.展开更多
This study investigated the relationship between human papillomavirus (HPV) genotype and expression of p53and p21^(WAF1) Expression of p53 and p2l^(WAF1) in 35 cases ofcondyloma acuminatum specimens infected by HPV6/1...This study investigated the relationship between human papillomavirus (HPV) genotype and expression of p53and p21^(WAF1) Expression of p53 and p2l^(WAF1) in 35 cases ofcondyloma acuminatum specimens infected by HPV6/11andHPV16/18 were studied using immunohistochemical staining.All specimens of the condyloma acuminatum case were positivefor expression of p53 and p21^(WAF1). The expression of p53 incondyloma acuminatum infected by HPV16/18 wassignificantly lower than that in specimens infected byHPV6/11.However, expression of p21^(WAF1) between the twogroups was not significantly different. Expression of p53 incondyloma acuminatum is likely related to HPV genotype,exoression of p21^(WAF1) was not related to HPV genotype.展开更多
Letϕ:Pc(M1)→Pc(M2)be a surjective Lp-isometry between Grassmann spaces of projections with the trace value c in semifinite factors M1 and M2.Based on the characterization of surjective Lp-isometries of unitary groups...Letϕ:Pc(M1)→Pc(M2)be a surjective Lp-isometry between Grassmann spaces of projections with the trace value c in semifinite factors M1 and M2.Based on the characterization of surjective Lp-isometries of unitary groups in finite factors,we show thatϕor I−ϕcan be extended to a∗-isomorphism or a∗-antiisomorphism.In particular,ϕis given by a∗-(anti-)isomorphism unless M1 and M2 are finite and c=12.展开更多
基金supported by the Natural Science Foundation of Hunan Province of China(2022JJ30369)the Education Department Important Foundation of Hunan Province in China(23A0095)。
文摘In this paper,we investigate sufficient and necessary conditions such that generalized Forelli-Rudin type operators T_(λ,τ,k),S_(λ,τ,k),Q_(λ,τ,k)and R_(λ,τ,k)are bounded between Lebesgue type spaces.In order to prove the main results,we first give some bidirectional estimates for several typical integrals.
基金Supported by the Natural Science Foundation of Anhui Provincia Education Department(KJ2017A341)the Talent Project of Fuyang Normal University(RCXM201714)+1 种基金the second author is supported by the Natural Science Foundation of Anhui Province of China(1608085MA03)the Fundamental Research Funds of Tongling Xueyuan Rencai Program(2015TLXYRC09)
基金supported by National Natural Science Foundation of China(No.12171471)。
文摘This paper is devoted to solving a reflected backward stochastic differential equation(BSDE in short)with one continuous barrier and a quasi-linear growth generator g,which has a linear growth in(y,z),except the upper direction in case of y<0,and is more general than the usual linear growth generator.By showing the convergence of a penalization scheme we prove existence and comparison theorem of the minimal L^(p)(p>1)solutions for the reflected BSDEs.We also prove that the minimal Lpsolution can be approximated by a sequence of Lpsolutions of certain reflected BSDEs with Lipschitz generators.
基金supported by the National Natural Science Foundation of China(Nos.12171156)the Science and Technology Commission of Shanghai Municipality(No.22DZ2229014)。
文摘In this paper,for 1<p<∞,the authors show that the coarse l^(p)-Novikov conjecture holds for metric spaces with bounded geometry which are coarsely embeddable into a Banach space with Kasparov-Yu’s Property(H).
基金supported by the National Natural Science Foundation of China(11801172,11771139,12071130)supported by the Natural Science Foundation of Zhejiang Province(LQ21A010002)supported by the Natural Science Foundation of Zhejiang Province(LY20A010007).
文摘The precise L^(p) norm of a class of Forelli-Rudin type operators on the Siegel upper half space is given in this paper.The main result not only implies the upper L^(p) norm estimate of the Bergman projection,but also implies the precise L^(p) norm of the Berezin transform.
文摘This study investigated the relationship between human papillomavirus (HPV) genotype and expression of p53and p21^(WAF1) Expression of p53 and p2l^(WAF1) in 35 cases ofcondyloma acuminatum specimens infected by HPV6/11andHPV16/18 were studied using immunohistochemical staining.All specimens of the condyloma acuminatum case were positivefor expression of p53 and p21^(WAF1). The expression of p53 incondyloma acuminatum infected by HPV16/18 wassignificantly lower than that in specimens infected byHPV6/11.However, expression of p21^(WAF1) between the twogroups was not significantly different. Expression of p53 incondyloma acuminatum is likely related to HPV genotype,exoression of p21^(WAF1) was not related to HPV genotype.
基金supported by the Science and Technology Research Program of Chongqing Municipal Education Commission(Grant No.KJQN2021000529)the Natural Science Foundation of Chongqing Science and Technology Commission(Grant No.cstc2020jcyj-msxm X0723)+2 种基金supported by Young Talent Fund of University Association for Science and Technology in Shaanxi(Grant No.20210507)supported by National Natural Science Foundation of China(Grant Nos.11871127and 11971463)supported by National Natural Science Foundation of China(Grant Nos.11971463,11871303 and 11871127)。
文摘Letϕ:Pc(M1)→Pc(M2)be a surjective Lp-isometry between Grassmann spaces of projections with the trace value c in semifinite factors M1 and M2.Based on the characterization of surjective Lp-isometries of unitary groups in finite factors,we show thatϕor I−ϕcan be extended to a∗-isomorphism or a∗-antiisomorphism.In particular,ϕis given by a∗-(anti-)isomorphism unless M1 and M2 are finite and c=12.
