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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>>

Bilinear Exotic Calderón–Zygmund Operators: 《Acta Mathematica Sinica,English Series》2025年第1期355-377,共23页Jin Bai Jinsong Li Kangwei Li; Supported by National Key R&D Program of China(Grant No.2021YFA1002500);NNSF of China(Grant Nos.12222114 and 12001400)。; We introduce a bilinear extension of the so-called exotic Calderón–Zygmund operators.These kernels arise naturally from the bilinear singular integrals associated with Zygmund dilations.We show that such a class of ...; 关键词：Bilinear Calderón–Zygmund operators weighted inequalities sparse bounds

Interpolation of Closed Ideals of Bilinear Operators: 《Acta Mathematica Sinica,English Series》2025年第1期209-230,共22页Fernando Cobos Luz M.Fernandez-Cabrera Anton Martinez; supported in part by UCM(Grant No.PR3/23-30811)。; We extend the(outer)measureγ_(I) associated to an operator ideal I to a measureγ_(I) for bounded bilinear operators.If I is surjective and closed,and J is the class of those bilinear operators such thatγ_(I)(T)=0,w...; 关键词：Measures associated to bideals of operators real interpolation measure of weak noncompactness of a bilinear operator adjoint operator of a bilinear operator

Area Operators on Bergman Spaces: 《Acta Mathematica Sinica,English Series》2024年第5期1161-1176,共16页Xiao Fen LV Jordi PAU Mao Fa WANG; partially supported by NSFC(Grant Nos.12171150,11771139);partially supported by NSFC(Grant Nos.12171373,12371136);ZJNSF(Grant No.LY20A010008);supported by the grants MTM2017-83499-P(Ministerio de Educación y Ciencia);2017SGR358(Generalitat de Catalunya)。; We completely characterize the boundedness of area operators from the Bergman spaces A_(α)^(p)(Bn)to the Lebesgue spaces L^(q)(S_(n))for all 0; 关键词：Area operator Bergman space tent space area formula

Integration Operators on Spaces of Dirichlet Series: 《Acta Mathematica Sinica,English Series》2023年第10期1919-1938,共20页Jia Le CHEN Mao Fa WANG; partially supported by the National Natural Science Foundation(Grant No.12171373)of China;supported by the Fundamental Research Funds for the Central Universities(Grant No.GK202207018)of China。; We first study the Volterra operator V acting on spaces of Dirichlet series.We prove that V is bounded on the Hardy space H_(0)^(p)for any 0; 关键词：Integration operator Dirichlet series Hardy space Bergman space

Weighted Variation Inequalities for Singular Integrals and Commutators in Rearrangement Invariant Banach and Quasi-Banach Spaces: 《Acta Mathematica Sinica,English Series》2023年第7期1389-1413,共25页Jia Wei TAN Qing Ying XUE; supported partly by the National Key R&D Program of China (Grant No.2020YFA0712900);NNSF of China (Grant Nos. 11871101, 12271041)。; In order to study the boundedness of some operators in general function spaces which include Lorentz spaces and Orlicz spaces as special examples,Lorentz introduced a new space called rearrangement invariant Banach fu...; 关键词：Variation operators singular integrals COMMUTATORS sparse operators rearrangement invariant Banach function spaces

Splitting of Operators and Operator Equations被引量：1: 《Acta Mathematica Sinica,English Series》2023年第6期1085-1100,共16页Chun Yuan DENG Wan Yu ZHANG; In this paper,we consider the splitting operators into the product of two positive operators.For given operators A and T∈B(H)with A≥0 and R(A)=R(T),if T can be splitted as T=AX for some positive operator X,then the ...; 关键词：PROJECTION positive operator operator equation Moore-Penrose inverse

Applying the Theory of Numerical Radius of Operators to Obtain Multi-observable Quantum Uncertainty Relations: 《Acta Mathematica Sinica,English Series》2022年第7期1241-1254,共14页Kan HE Jin Chuan HOU; Supported by National Natural Science Foundation of China(Grant Nos.11771011,12071336)。; Quantum uncertainty relations are mathematical inequalities that describe the lower bound of products of standard deviations of observables(i.e.,bounded or unbounded self-adjoint operators).By revealing a connection b...; 关键词：Numerical radius of operators quantum uncertainty principle quantum observables quantum deviations

On Weighted Compactness of Commutators Related with Schrodinger Operators: 《Acta Mathematica Sinica,English Series》2022年第6期1015-1040,共26页Qian Jun HE Peng Tao LI; supported by National Natural Science Foundation of China(Grant Nos.11871293,11871452,12071473,12071272);Shandong Natural Science Foundation of China(Grant No.ZR2017JL008)。; Let L=-Δ+V be a Schrodinger operator,whereΔis the Laplacian operator on R^(d)(d≥3),while the nonnegative potential V belongs to the reverse Holder class B_(q),q>d/2.In this paper,we study weighted compactness of co...; 关键词：COMMUTATORS COMPACTNESS Schr?dinger operators weight functions

Properties of New Holomorphic Mappings with Respect to Conic Domains: 《Acta Mathematica Sinica,English Series》2021年第6期971-991,共21页Yan Yan CUI Yong Hong XIE He Ju YANG Yu Ying QIAO; Supported by NSF of China(Grant Nos.11571089,11871191);Science and Technology Research Projects of He’nan Provincial Education Department(Grant No.17A110041);the key Foundation of Hebei Normal University(Grant No.L2018Z01);Scientific Research Fund of High Level Talents of Zhoukou Normal University(Grant No.ZKNUC2019004)。; This paper is mainly about holomorphic mappings associated with conic regions which are closely connected with k-ST(α).We introduce new subclasses of starlike(spirallike)functions,namely,S^(p)_(c)(k,α)(S^(p)_(c)(k,...; 关键词：Holomorphic mappings coefficient estimates growth theorems Roper-Suffridge operators

M_(φ)-type Submodules over the Bidisk: 《Acta Mathematica Sinica,English Series》2021年第5期805-824,共20页Guo Zeng YANG Chang Hui WU Tao YU; Supported by NNSF of China(Grant No.11971087)。; Let H^(2)(D^(2))be the Hardy space over the bidisk D^(2),and let M_(φ)=[(z-φ(w))^(2)]be the submodule generated by(z-φ(w))^(2),whereφ(w)is a function in H∞(w).The related quotient module is denoted by N_(φ)=H^(2...; 关键词：Submodules Beurling type theorem compression operators FREDHOLMNESS

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