检索结果-南通市图书馆

BIG HANKEL OPERATORS ON hardy spaceS OF STRONGLY PSEUDOCONVEX DOMAINS

在线全文

同方期刊数据库

学校读者我要写书评

暂无评论

Acta Mathematica Scientia 2024年第3期44卷 789-809页

作者：陈伯勇江良英 School of Mathematical Sciences Fudan UniversityShanghai200433China Department of Statistics and Mathematics Shanghai Lixin University of Accounting and FinanceShanghai201209China

In this article,we investigate the(big) Hankel operator H_(f) on the hardy spaces of bounded strongly pseudoconvex domains Ω in C^(n).We observe that H_(f ) is bounded on H~p(Ω)(1

详细信息

In this article,we investigate the(big) Hankel operator H_(f) on the hardy spaces of bounded strongly pseudoconvex domains Ω in C^(n).We observe that H_(f ) is bounded on H~p(Ω)(1 hardy spaces H^(p)(Ω)(1 ≤p≤∞) of bounded strongly pseudoconvex domains.

关键词： Hankel operator hardy space Bergman space pseudoconvex domain

MAXIMAL FUNCTION CHARACTERIZATIONS OF hardy spaceS ASSOCIATED WITH BOTH NON-NEGATIVE SELF-ADJOINT OPERATORS SATISFYING GAUSSIAN ESTIMATES AND BALL QUASI-BANACH FUNCTION spaceS

在线全文

学校读者我要写书评

暂无评论

Acta Mathematica Scientia 2024年第2期44卷 484-514页

作者：林孝盛杨大春杨四辈袁文 Laboratory of Mathematics and Complex Systems(Ministry of Education of China) School of Mathematical SciencesBeijing Normal UniversityBeijing100875China School of Mathematics and Statistics Gansu Key Laboratory of Applied Mathematics and Complex SystemsLanzhou UniversityLanzhou730000China

Assume that L is a non-negative self-adjoint operator on L^(2)(ℝ^(n))with its heat kernels satisfying the so-called Gaussian upper bound estimate and that X is a ball quasi-Banach function space onℝ^(n) satisfying some mild assumptions.Let HX,L(ℝ^(n))be the hardy space associated with both X and L,which is defined by the Lusin area function related to the semigroup generated by L.In this article,the authors establish various maximal function characterizations of the hardy space HX,L(ℝ^(n))and then apply these characterizations to obtain the solvability of the related Cauchy problem.These results have a wide range of generality and,in particular,the specific spaces X to which these results can be applied include the weighted space,the variable space,the mixed-norm space,the Orlicz space,the Orlicz-slice space,and the Morrey space.Moreover,the obtained maximal function characterizations of the mixed-norm hardy space,the Orlicz-slice hardy space,and the Morrey-hardy space associated with L are completely new.

关键词： hardy space ball quasi-Banach function space Gaussian upper bound estimate non-negative self-adjoint operator maximal function

hardy space estimates for bi-parameter Littlewood-Paley square functions

在线全文

学校读者我要写书评

暂无评论

Frontiers of Mathematics in China 2020年第2期15卷 333-349页

作者： Fanghui LIAO Zhengyang LI School of Mathematics and Computational Sciences Xiangtan UniversityXiangtan 411105China School of Mathematics and Computational Sciences Hunan University of Science and TechnologyXiangtan 411201China

Suppose that g(f)are bi-parameter Littlewood-Paley square functions which were introduced by H.Martikainen.It is known that the L^2(R^n×R^m)boundedness and the H1(R^n×R^m)-L1(R^n×R^m)boundedness of g(f)have been proved by H.Martikainen and by Z.Li and Q.Xue,respectively.In this paper,we apply the vector-valued theory,the atomic decomposition of product hardy spaces,and Journe’s covering lemma to show that g(f)are bounded from H^p(R^n×R^m)to Lp(R^n×R^m)with p smaller than 1.

关键词： hardy space Littlewood-Paley square function Journe’s covering lemma atomic decomposition

Decompositions of the hardy space _z^1(Ω)

维普期刊数据库评论

在线全文

维普期刊数据库

学校读者我要写书评

暂无评论

Acta Mathematica Sinica,English Series 2005年第4期21卷 949-954页

作者： Zeng Jian LOU Shou Zhi YANG Dao Jin SONG Department of Mathematics Shantou University Shantou 515063 P. R. China Teaching Division of Computer Science Shandong University of Technology Zibo 255091 P. R. China

We give a decomposition of the hardy space Hz^1（Ω） into ＂div-curl＂ quantities for Lipschitz domains in R^n. We also prove a decomposition of Hz^1（Ω） into Jacobians det Du, u ∈ W0^1,2 （Ω,R^2） for Ω in R^2.... 详细信息

关键词： hardy space Lipschitz domain, Jacobian determinant

Commuting Toeplitz Operators on the hardy space of the Polydisk

在线全文

学校读者我要写书评

暂无评论

Acta Mathematica Sinica,English Series 2015年第4期31卷 695-702页

作者： Ling Hui KONG Yu Feng LU School of Mathematical Sciences Dalian University of Technology

In this paper, we show that two Toeplitz operators Tf and Tg on the hardy space of the polydisk can commute if and only if the Berezin transform of the commutator [Tf, Tg] is n-harmonic.

关键词： Commuting Toeplitz operators hardy space polydisk Berezin transform

Boundedness of Multilinear Operators in Herz-type hardy space

在线全文

学校读者我要写书评

暂无评论

Acta Mathematica Sinica,English Series 2000年第2期16卷 295-306页

作者： Lin Tang Dachun Yang Department of Mathematics,Beijing Normal University,Beijing 100875,P.R.China Department of Mathematics Beijing Normal University Beijing 100875 P. R. China

Let k ∈ N.We prove that the lnultilinear operators of finite sums of products of singular integrals on Rn are bounded from H Kqlαl·pl（Rn）×…×HKqkαk,pk（Rn）into HKqα,p（Rn）if they have vanishing moments up to a certain order dictated by the target spaces.These conditions on vanishing moments satisfied by the multilinear operators are also necessary when αj（?）0 and the singular integrals considered here include the Calderón-Zygmund singular integrals and the fractional integrals of any orders.

关键词： Multilinear operator Calderón-Zygmund operator Fractional integral Multiplier Herz space hardy space Atom

SZEG KERNEL FOR hardy space OF MATRIX FUNCTIONS

在线全文

学校读者我要写书评

暂无评论

Acta Mathematica Scientia 2016年第1期36卷 203-214页

作者：贺福利库敏 Uwe KHLER School of Mathematics and Statistics Central South University CIDMA Department of MathematicsUniversity of Aveiro

By the characterization of the matrix Hilbert transform in the Hermitian Clifford analysis, we introduce the matrix Szeg5 projection operator for the hardy space of Hermitean monogenic functions defined on a bounded sub-domain of even dimensional Euclidean space, establish the Kerzman-Stein formula which closely connects the matrix Szego projection operator with the hardy projection operator onto the hardy space, and get the matrix Szego projection operator in terms of the hardy projection operator and its adjoint. Furthermore, we construct the explicit matrix Szego kernel function for the hardy space on the sphere as an example, and get the solution to a boundary value problem for matrix functions.

关键词： hardy space Hermitean Clifford analysis Szego projection matrix function

A note on characterization of hardy space H^1

在线全文

学校读者我要写书评

暂无评论

Science China Mathematics 2005年第4期48卷 448-455页

作者： WANG Silei Department of Mathematics, Zhejiang University, Hangzhou 310028, China Department of Mathematics Zhejiang University Hangzhou China

An all-round answer is given to the following question: “Find a necessary and sufficient size condition for an integrable compactly supported function on ℝn with mean value zero to be in the hardy space H ... 详细信息

关键词： hardy space Riesz transform Hilbert transform

TWO PROBLEMS ABOUT COMPOSITION OPERATORS ON hardy space

在线全文

学校读者我要写书评

暂无评论

Acta Mathematica Scientia 2005年第3期25卷 515-524页

作者：吴树宏王茂发刘培德 Department of Mathematics Huazhong University of Science and Technology School of Mathematics and Statistics Wuhan University

In this paper, two problems about composition operator on hardy space are considered. Firstly, a new estimation of the norm of a class of composition operators is given. Secondly, the cyclic behavior of the adjoint op... 详细信息

关键词： hardy space composition operator numerical range cyclic vector