A. P. LINGASWAMY; see B. S. K. REDDY et al.; （1）, 235-246 AN Junling; LI Ying; CHEN Yong; LI Jian; QU Yu; TANG Yujia; Enhancements of Major Aerosol Components Due to Additional HONO Sources in the North China Pl...A. P. LINGASWAMY; see B. S. K. REDDY et al.; （1）, 235-246 AN Junling; LI Ying; CHEN Yong; LI Jian; QU Yu; TANG Yujia; Enhancements of Major Aerosol Components Due to Additional HONO Sources in the North China Plain and Implications for Visi- bility and Haze; （1）, 57-66展开更多
Perturbations of Frames Dong Yang CHEN;Lei LI;Ben Tuo ZHENG Abstract In this paper,we give some sufficient conditions under which perturbations preserve Hilbert frames and near-Riesz bases.Similar results are also ext...Perturbations of Frames Dong Yang CHEN;Lei LI;Ben Tuo ZHENG Abstract In this paper,we give some sufficient conditions under which perturbations preserve Hilbert frames and near-Riesz bases.Similar results are also extended to frame sequences,Riesz sequences and Schauder frames.It is worth mentioning that some of our perturbation conditions are quite different from those used in the previous literatures on this topic.Perturbations of Moore-Penrose Metric Generalized Inverses of Linear Operators in Banach Spaces Hai Feng MA;Shuang SUN;Yu Wen WANG;Wen Jing展开更多
The Defocusing Energy-supercritical Hartree Equation Ji Qiang ZHENGAbstract In this paper,we study the global well-posedness and scattering problem for the energy-supercritical Hartree equation iu<sub>t</sub&...The Defocusing Energy-supercritical Hartree Equation Ji Qiang ZHENGAbstract In this paper,we study the global well-posedness and scattering problem for the energy-supercritical Hartree equation iu<sub>t</sub>+△u-(|x|<sup>-γ</sup>*|u|<sup>2</sup>)u=0 withγ】4 in dimension d】γ.We prove that if the solution u is apriorily bounded in the critical Sobolev space,that is,u∈L<sub>t</sub><sup>∞</sup>（I;H<sub>x</sub><sup>s</sup>c（R<sup>d</sup>））with s<sub>c</sub>:=γ/2-1】1,then u is global and scatters.The impetus展开更多
Weighted Estimates for Multilinear Pseudodifferential Operators Kang Wei LI;Wen Chang SUN Abstract In this paper,we study the weighted estimates for multilinear pseudodifferential operators.We show that a multilinear ...Weighted Estimates for Multilinear Pseudodifferential Operators Kang Wei LI;Wen Chang SUN Abstract In this paper,we study the weighted estimates for multilinear pseudodifferential operators.We show that a multilinear pseudodifferential operator is bounded with respect to multiple weights whenever its symbol satisfies some smoothness and decay conditions.Our result generalizes similar ones from the classical A_p weights to multiple weights.Trigonometric Series With a Generalized Monotonicity展开更多
Explicit Stationary Distribution of the(L,1)-reflecting Random Walk on the Half Line Wen Ming HONG Ke ZHOU Yi Qiang Q.ZHAO Abstract In this paper,we consider the(L,1)state-dependent reflecting random walk(RW)on the ha...Explicit Stationary Distribution of the(L,1)-reflecting Random Walk on the Half Line Wen Ming HONG Ke ZHOU Yi Qiang Q.ZHAO Abstract In this paper,we consider the(L,1)state-dependent reflecting random walk(RW)on the half line,which is an RW allowing jumps to the left at a maximal size L.For this model,we provide an explicit criterion for(positive)recurrence and an explicit expression for the stationary distribution.As an application,we prove the geometric tail asymptotic behavior of the stationary distribution under certain conditions.The main tool employed in the paper展开更多
Least Number of Periodic Points of Self-maps of Lie Groups Jerzy JEZIERSKI Abstract There are two algebraic lower bounds of the number of n-periodic points of a self-map f:M→M of a compact smooth manifold of dimensio...Least Number of Periodic Points of Self-maps of Lie Groups Jerzy JEZIERSKI Abstract There are two algebraic lower bounds of the number of n-periodic points of a self-map f:M→M of a compact smooth manifold of dimension at least 3:NF_n(f)=min{#Fix(g^n);g^f;g is continuous}and NJD_n(f)=min{#Fix(g^n);g^f;g is smooth}.In general,NJD_n(f)may be much greater than NF_n(f).If M is a torus,then the invariants展开更多
on Double Vector Bundles Zhuo CHEN Zhang Ju LIU Yun He SHENG Abstract In this paper,we construct a category of short exact sequences of vector bundles and prove that it is equivalent to the category of double vector b...on Double Vector Bundles Zhuo CHEN Zhang Ju LIU Yun He SHENG Abstract In this paper,we construct a category of short exact sequences of vector bundles and prove that it is equivalent to the category of double vector bundles.Moreover,operations on double vector bundles can be transferred to operations on the corresponding short exact sequences.In particular,we study the duality theory of double vector bundles in term展开更多
Categorification of Integrable Representations of Quantum Groups Hao ZHENG Abstract We eategorify the highest weight integrable representations and their tensor prod—ucts of a symmetric quantum Kac—Moody algebra.As ...Categorification of Integrable Representations of Quantum Groups Hao ZHENG Abstract We eategorify the highest weight integrable representations and their tensor prod—ucts of a symmetric quantum Kac—Moody algebra.As a byproduct,we obtain a geometric realization of Lusztig’s canonical bases of these representations as well as a new positivity result.The main ingredient in the underlying geometric construction is a class of micro-local展开更多
On Equivalence of Simple Closed Curves in Flat Surfaces Zong Liang SUN Abstract By explicit constructions,we give direct proofs of the following results:for any distinct homotopy classes of simple closed curvesαandβ...On Equivalence of Simple Closed Curves in Flat Surfaces Zong Liang SUN Abstract By explicit constructions,we give direct proofs of the following results:for any distinct homotopy classes of simple closed curvesαandβin a closed surface of genus g】1,there exist a hyperbolic structure X and a holomorphic quadratic differential q on X such展开更多
Regularity of the Inverse of a Homeomorphism with Finite Inner Distortion Chang Yu GUO Abstract Let f:Ω→f（Ω）R<sup>n</sup> be a W<sup>1,1</sup>-homeomorphism with L<sup>1</sup>...Regularity of the Inverse of a Homeomorphism with Finite Inner Distortion Chang Yu GUO Abstract Let f:Ω→f（Ω）R<sup>n</sup> be a W<sup>1,1</sup>-homeomorphism with L<sup>1</sup>-integrable inner distortion.We show that finiteness of min{lip<sub>f</sub>（x）,k<sub>f</sub>（x）},for every x∈Ω\E,implies that f<sup>-1</sup>∈W<sup>1,n</sup>and has finite distortion,provided that the exceptional set E hasσ-finite H<sup>1</sup>-measure.Moreover,f has finite distortion,differentiable a.e.and the Jacobian J<sub>f</sub>】0 a.e.展开更多
Similarity Degrees for the Crossed Product of yon Neumann Algebras Jin Song WU Wen Ming WU Abstract In this paper,we will estimate an upper bound for the similarity degree of the crossed product of a hyperfinite finit...Similarity Degrees for the Crossed Product of yon Neumann Algebras Jin Song WU Wen Ming WU Abstract In this paper,we will estimate an upper bound for the similarity degree of the crossed product of a hyperfinite finite yon Neumann algebra by weakly compact action of an infinite discrete group.We will also improve some upper bounds for similarity degrees of some finite von Neumann algebras.展开更多
All authors of papers published in this volume are listed alphabetically according to the last name of each author. Full titles are included in each first author＇s entry.
文摘A. P. LINGASWAMY; see B. S. K. REDDY et al.; （1）, 235-246 AN Junling; LI Ying; CHEN Yong; LI Jian; QU Yu; TANG Yujia; Enhancements of Major Aerosol Components Due to Additional HONO Sources in the North China Plain and Implications for Visi- bility and Haze; （1）, 57-66
文摘Perturbations of Frames Dong Yang CHEN;Lei LI;Ben Tuo ZHENG Abstract In this paper,we give some sufficient conditions under which perturbations preserve Hilbert frames and near-Riesz bases.Similar results are also extended to frame sequences,Riesz sequences and Schauder frames.It is worth mentioning that some of our perturbation conditions are quite different from those used in the previous literatures on this topic.Perturbations of Moore-Penrose Metric Generalized Inverses of Linear Operators in Banach Spaces Hai Feng MA;Shuang SUN;Yu Wen WANG;Wen Jing
文摘The Defocusing Energy-supercritical Hartree Equation Ji Qiang ZHENGAbstract In this paper,we study the global well-posedness and scattering problem for the energy-supercritical Hartree equation iu<sub>t</sub>+△u-(|x|<sup>-γ</sup>*|u|<sup>2</sup>)u=0 withγ】4 in dimension d】γ.We prove that if the solution u is apriorily bounded in the critical Sobolev space,that is,u∈L<sub>t</sub><sup>∞</sup>（I;H<sub>x</sub><sup>s</sup>c（R<sup>d</sup>））with s<sub>c</sub>:=γ/2-1】1,then u is global and scatters.The impetus
文摘Weighted Estimates for Multilinear Pseudodifferential Operators Kang Wei LI;Wen Chang SUN Abstract In this paper,we study the weighted estimates for multilinear pseudodifferential operators.We show that a multilinear pseudodifferential operator is bounded with respect to multiple weights whenever its symbol satisfies some smoothness and decay conditions.Our result generalizes similar ones from the classical A_p weights to multiple weights.Trigonometric Series With a Generalized Monotonicity
文摘Explicit Stationary Distribution of the(L,1)-reflecting Random Walk on the Half Line Wen Ming HONG Ke ZHOU Yi Qiang Q.ZHAO Abstract In this paper,we consider the(L,1)state-dependent reflecting random walk(RW)on the half line,which is an RW allowing jumps to the left at a maximal size L.For this model,we provide an explicit criterion for(positive)recurrence and an explicit expression for the stationary distribution.As an application,we prove the geometric tail asymptotic behavior of the stationary distribution under certain conditions.The main tool employed in the paper
文摘Least Number of Periodic Points of Self-maps of Lie Groups Jerzy JEZIERSKI Abstract There are two algebraic lower bounds of the number of n-periodic points of a self-map f:M→M of a compact smooth manifold of dimension at least 3:NF_n(f)=min{#Fix(g^n);g^f;g is continuous}and NJD_n(f)=min{#Fix(g^n);g^f;g is smooth}.In general,NJD_n(f)may be much greater than NF_n(f).If M is a torus,then the invariants
文摘on Double Vector Bundles Zhuo CHEN Zhang Ju LIU Yun He SHENG Abstract In this paper,we construct a category of short exact sequences of vector bundles and prove that it is equivalent to the category of double vector bundles.Moreover,operations on double vector bundles can be transferred to operations on the corresponding short exact sequences.In particular,we study the duality theory of double vector bundles in term
文摘Categorification of Integrable Representations of Quantum Groups Hao ZHENG Abstract We eategorify the highest weight integrable representations and their tensor prod—ucts of a symmetric quantum Kac—Moody algebra.As a byproduct,we obtain a geometric realization of Lusztig’s canonical bases of these representations as well as a new positivity result.The main ingredient in the underlying geometric construction is a class of micro-local
文摘On Equivalence of Simple Closed Curves in Flat Surfaces Zong Liang SUN Abstract By explicit constructions,we give direct proofs of the following results:for any distinct homotopy classes of simple closed curvesαandβin a closed surface of genus g】1,there exist a hyperbolic structure X and a holomorphic quadratic differential q on X such
文摘Regularity of the Inverse of a Homeomorphism with Finite Inner Distortion Chang Yu GUO Abstract Let f:Ω→f（Ω）R<sup>n</sup> be a W<sup>1,1</sup>-homeomorphism with L<sup>1</sup>-integrable inner distortion.We show that finiteness of min{lip<sub>f</sub>（x）,k<sub>f</sub>（x）},for every x∈Ω\E,implies that f<sup>-1</sup>∈W<sup>1,n</sup>and has finite distortion,provided that the exceptional set E hasσ-finite H<sup>1</sup>-measure.Moreover,f has finite distortion,differentiable a.e.and the Jacobian J<sub>f</sub>】0 a.e.
文摘Similarity Degrees for the Crossed Product of yon Neumann Algebras Jin Song WU Wen Ming WU Abstract In this paper,we will estimate an upper bound for the similarity degree of the crossed product of a hyperfinite finite yon Neumann algebra by weakly compact action of an infinite discrete group.We will also improve some upper bounds for similarity degrees of some finite von Neumann algebras.
文摘All authors of papers published in this volume are listed alphabetically according to the last name of each author. Full titles are included in each first author＇s entry.
