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OPERATORS: 作品数：904被引量：849H指数：11; 导出分析报告; 相关领域：理学更多>>; 相关作者：郭顺生曹飞龙杨茂周定轩熊静宜更多>>; 相关机构：河北师范大学北京师范大学宁夏大学北京邮电大学更多>>; 相关期刊：更多>>; 相关基金：国家自然科学基金国家教育部博士点基金国家重点基础研究发展计划福建省自然科学基金更多>>

GENERALIZED FORELLI-RUDIN TYPE OPERATORS BETWEEN SEVERAL FUNCTION SPACES ON THE UNIT BALL OF C^(N)被引量：1: 《Acta Mathematica Scientia》2024年第4期1301-1326,共26页Xuejun ZHANG Yuting GUO Hongxin CHEN Pengcheng TANG; supported by the Natural Science Foundation of Hunan Province of China(2022JJ30369);the Education Department Important Foundation of Hunan Province in China(23A0095)。; 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...; 关键词：Forelli-Rudin type operator L^(p q s k)(B_(n))space BOUNDEDNESS unit ball

THE BOUNDEDNESS OF OPERATORS ON WEIGHTED MULTI-PARAMETER LOCAL HARDY SPACES: 《Acta Mathematica Scientia》2024年第1期386-404,共19页丁卫汤彦朱月萍; Supported by the NSFC(12271322,12271501)。; 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...; 关键词：weighted multi-parameter local Hardy spaces atomic decomposition BOUNDEDNESS inhomogeneous Journéclass

SOME PROPERTIES OF THE INTEGRATION OPERATORS ON THE SPACES F(p,q,s): 《Acta Mathematica Scientia》2024年第1期173-188,共16页陈家乐; partially supported by the Fundamental Research Funds for the Central Universities(GK202207018)of China。; We study the closed range property and the strict singularity of integration operators acting on the spaces F(p,pα-2,s).We completely characterize the closed range property of the Volterra companion operator I_(g)on ...; 关键词：integration operator closed range property strict singularity

A DERIVATIVE-HILBERT OPERATOR ACTING ON HARDY SPACES被引量：1: 《Acta Mathematica Scientia》2023年第6期2398-2412,共15页叶善力冯光豪; supported by the Zhejiang Provincial Natural Science Foundation (LY23A010003);the National Natural Science Foundation of China (11671357).; Letμbe a positive Borel measure on the interval[0,1).The Hankel matrixHμ=(μn,k)n,k≥0 with entries μn,k=μn+k,whereμn=∫[0,1)tndμ(t),induces formally the operator asDHμ(f)(z)=∞∑n=0(∞∑k=0 μn,kak)z^(n),z∈D,...; 关键词：Derivative-Hilbert operators Hardy spaces Carleson measures

ANISOTROPIC(p,q)-EQUATIONS WITH COMPETITION PHENOMENA: 《Acta Mathematica Scientia》2022年第1期299-322,共24页Zhenhai LIU Nikolaos S.PAPAGEORGIOU; supported by NNSF of China(12071413);NSF of Guangxi(2018GXNSFDA138002)。; We consider a nonlinear Robin problem driven by the anisotropic(p,q)-Laplacian and with a reaction exhibiting the competing effects of a parametric sublinear(concave) term and of a superlinear(convex) term.We prove a ...; 关键词：concave-convex nonlinearities anisotropic operators regularity theory maximum principle minimal positive solution

THE PRECISE NORM OF A CLASS OF FORELLI-RUDIN TYPE OPERATORS ON THE SIEGEL UPPER HALF SPACE: 《Acta Mathematica Scientia》2021年第5期1537-1546,共10页Lifang ZHOU Yun FAN Jin LU; 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).; 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...; 关键词：precise L^(p)norm Forelli-Rudin type operators Siegel upper half space Bergman projection Berezin transform

RADIALLY SYMMETRIC SOLUTIONS FOR QUASILINEAR ELLIPTIC EQUATIONS INVOLVING NONHOMOGENEOUS OPERATORS IN AN ORLICZ-SOBOLEV SPACE SETTING: 《Acta Mathematica Scientia》2020年第6期1679-1699,共21页Jae-Myoung KIM Yun-Ho KIM Jongrak LEE; the National Research Foundation of Korea(NRF)grant funded by the Korea government(MSIT)(NRF-2019R1F1A1057775);Basic Science Research Program through the National Research Foundation of Korea(NRF)funded by the Ministry of Education(2018R1D1A1B07048620).; We investigate the following elliptic equations:⎧⎩⎨−M(∫R Nϕ(|∇u|2)dx)div(ϕ′(|∇u|2)∇u)+|u|α−2 u=λh(x,u),u(x)→0,as|x|→∞,in R N,where N≥2,1; 关键词：radial solution quasilinear elliptic equations variational methods Orlicz-Sobolev spaces

BOUNDEDNESS OF VARIATION OPERATORS ASSOCIATED WITH THE HEAT SEMIGROUP GENERATED BY HIGH ORDER SCHRODINGER TYPE OPERATORS被引量：3: 《Acta Mathematica Scientia》2020年第5期1215-1228,共14页Suying LIU Chao ZHANG; supported by the National Natural Science Foundation of China(11701453);Fundamental Research Funds for the Central Universities(31020180QD05);The second author was supported by the National Natural Science Foundation of China(11971431,11401525);the Natural Science Foundation of Zhejiang Province(LY18A010006);and the first Class Discipline of Zhejiang-A(Zhejiang Gongshang University-Statistics).; In this article,we derive the Lp-boundedness of the variation operators associated with the heat semigroup which is generated by the high order Schrodinger type operator(—Δ)^2+V%2 in R%n(n≥5)with V being a nonnegat...; 关键词：Variation operators high order Schrodinger type operators heat semigroup

A VIEWPOINT TO MEASURE OF NON-COMPACTNESS OF OPERATORS IN BANACH SPACES被引量：1: 《Acta Mathematica Scientia》2020年第3期603-613,共11页Qinrui SHEN; The project supported in part by the National Natural Science Foundation of China(11801255)。; This article is committed to deal with measure of non-compactness of operators in Banach spaces.Firstly,the collection C(X)(consisting of all nonempty closed bounded convex sets of a Banach space X endowed with the ua...; 关键词：Measure of non-compactness measure of non-compactness of operators Banach lattice Banach space

L^0-CONVEX COMPACTNESS AND RANDOM NORMAL STRUCTURE IN L^0(F,B): 《Acta Mathematica Scientia》2020年第2期457-469,共13页Tiexin GUO Erxin ZHANG Yachao WANG George YUAN; This work was supported by National Natural Science Foundation of China(11571369)。; Let(B,||·||)be a Banach space,(?,F,P)a probability space,and L^0(F,B)the set of equivalence classes of strong random elements(or strongly measurable functions)from(?,F,P)to(B,||·||).It is well known that L^0(F,B)bec...; 关键词：Complete random normed modules fixed point theorem L^0-convex compactness random normal structure random nonexpansive operators

OPERATORS