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CARLESON: 作品数：44被引量：37H指数：4; 导出分析报告; 相关领域：理学更多>>; 相关作者：乌兰哈斯张超陈伟刘培德李颂孝更多>>; 相关机构：内蒙古师范大学浙江师范大学湖北师范大学广州大学更多>>; 相关期刊：《Journal of Applied Mathematics and Physics》《数学学报（中文版）》《数学年刊（A辑）》《数学译林》更多>>; 相关基金：国家自然科学基金浙江省自然科学基金美国国家科学基金内蒙古自治区自然科学基金更多>>

向量值指数权Bergman空间上的正算子值Toeplitz算子: 《数学学报（中文版）》2024年第5期807-829,共23页许春续何莉; 国家自然科学基金资助项目(12371127)。; 本文介绍向量值指数权Bergman空间A_(φ)^(p)(H)(1φp(H)到A_(φ)^(p)(H)上的Bergman投影何时是有界的,得到了向量值指数权Bergman空间的对偶.其次,得到了Carleson条件的几种等价描述,并用之来刻画Toeplitz算子在A_(φ)^(p)(H)上的有界...; 关键词：TOEPLITZ算子指数权Bergman空间算子值符号 Carleson条件 Schatten-p类

关于实轴自同胚的延拓: 《数学进展》2024年第4期707-719,共13页戴译贤钟裕民; partially supported by NSFC (No.12071047);partially supported by NSFC (Nos.12071047,11701039);Fundamental Research Funds for the Central Universities (No.500421126)。; 逐点伸缩偏差满足一定条件时,实轴保向自同胚可以由Beurling-Ahlfors扩张连续延拓为David映射.利用修改的三角剖分扩张,本文给出实轴保向自同胚连续延拓为David映射的另一个充分条件,该条件去掉了保向自同胚的一个限制.; 关键词：拟共形映射拟对称自同胚伸缩商 Carleson盒子延拓

A Carleson Problem for the Boussinesq Operator: 《Acta Mathematica Sinica,English Series》2023年第1期119-148,共30页Dan LI Jun Feng LI; supported by NSFC(Grant No.12071052);the Fundamental Research Funds for the Central Universities;supported by the Research Initiation Fund for Young Teachers of Beijing Technology and Business University(Grant No.QNJJ2021-02)。; In this paper,we show that the Boussinesq operator B_(t)f converges pointwise to its initial data.f∈H^(s)(R)as t→0 provided s≥1/4-more precisely-on one hand,by constructing a counterexample in R we discover that th...; 关键词：Carleson problem Boussinesq operator pointwise convergence Hausdorff dimension Sobolev space

Boundary Harnack principle on nodal domains Dedicated to Professor Jiaxing Hong on the Occasion of His 80th Birthday: 《Science China Mathematics》2022年第12期2441-2458,共18页Fanghua Lin Zhengjiang Lin; supported by National Science Foundation of USA(Grant No.DMS 1955249)。; We study some geometric and potential theoretic properties of nodal domains of solutions to certain uniformly elliptic equations. In particular, we establish corkscrew conditions, Carleson type estimates and boundary ...; 关键词：boundary Harnack principle nodal domain modified Harnack chain Carleson type estimate frequency bound

A Note on the Convergence of the Schrodinger Operator along Curve: 《Analysis in Theory and Applications》2021年第3期330-346,共17页Junfeng Li Jun Wang; supported by NNSF of China(No.12071052);the fundamental Research Funds for the Central Universities.; In this paper we set up a convergence property for the fractional Schodinger operator for 0<α<1.Moreover,we extend the known results to non-tangent convergence and the convergence along Lipschitz curves.; 关键词：Refinement of the Carleson problem disconvergence set fractional Schrodinger operator Hausdorff dimension Sobolev space.

AN UPBOUND OF HAUSDORFF’S DIMENSION OF THE DIVERGENCE SET OF THE FRACTIONAL SCHRODINGER OPERATOR ON H^(s)(R^(n))被引量：1: 《Acta Mathematica Scientia》2021年第4期1223-1249,共27页Dan LI Junfeng LI Jie XIAO; Li Dan and Li Junfeng were supported by NSFC-DFG(11761131002);NSFC(12071052);Xiao Jie was supported by NSERC of Canada(202979463102000).; Given n≥2 and α≥1/2,we obtained an improved upbound of Hausdorff's dimension of the fractional Schrodinger operator;that is,supf∈H^(s)(R^(n)) dim_(H){x∈R^(n):limt→0 e^(it)(-△)^(α) f(x)≠f(x)}≤n+1-2(n+1)s/n fo...; 关键词：The Carleson problem divergence set the fractional Schrodinger operator Hausdorff dimension Sobolev space

POINTWISE MULTIPLICATION OPERATORS FROM HARDY SPACES TO WEIGHTED BERGMAN SPACES IN THE UNIT BALL OF ■被引量：2: 《Acta Mathematica Scientia》2019年第4期1003-1016,共14页Ru PENG Xiaolei XING Liangying JIANG; Supported by the National Natural Science Foundation of China(11601400 and 11771441);the Fundamental Research Funds for the Central Universities(2017IB012 and 2017IVB064); This article is devoted to characterizing the boundedness and compactness of multiplication operators from Hardy spaces to weighted Bergman spaces in the unit ball of ■.; 关键词：Poin twise multiplication opera TORS Hardy SPACES BERGMAN SPACES CARLESON measure

The Dominating Set of Bergman Spaces: 《Journal of Applied Mathematics and Physics》2019年第7期1560-1571,共12页Xin Song; The dominating set of the weighted Bergman space in the unit disk is characterized in terms of the pseudo-hyperbolic metric disk. Our method is to generalize Luecking’s three key lemmas on Bergman space to the weight...; 关键词：BERGMAN SPACE CARLESON MEASURE REVERSE CARLESON INEQUALITY

Quantitative Absolute Continuity of Harmonic Measure and the Dirichlet Problem: A Survey of Recent Progress: 《Acta Mathematica Sinica,English Series》2019年第6期1011-1026,共16页Steve HOFMANN; supported by NSF(Grant No.DMS-1664047);supported by NSF(Grant No.DMS-1440140); It is a well-known folklore result that quantitative, scale invariant absolute continuity(more precisely, the weak-A∞ property) of harmonic measure with respect to surface measure, on the boundary of an open set Ω ?...; 关键词：Harmonic measure POISSON kernel uniform RECTIFIABILITY weak local John condition BIG pieces of chord-arc DOMAINS CARLESON measures

Generalized Schwarzian Derivatives and Analytic Morrey Spaces: 《Chinese Quarterly Journal of Mathematics》2019年第2期171-187,共17页JIN Jian-jun LI Hua-bing TANG Shu-an; supported by National Natural Science Foundation of China(Grant No.11601100);the PhD research startup foundation of Guizhou Normal University(Grant No.11904-05032130006);supported by National Natural Science Foundation of China(Grant No.11501157); In this paper,we study univalent functions f for which log f’belongs to the analytic Morrey spaces.By using the characterization of higher order derivatives of functions in analytic Morrey spaces,we establish some ne...; 关键词：ANALYTIC MORREY SPACES UNIVALENT functions Schwarzian derivative GENERALIZED Schwarzian derivatives CARLESON measure

CARLESON