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operator Equations Inducing Some Generalizations of Slant hankel operators

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Acta Mathematica Sinica,English Series 2024年第8期40卷 2017-2036页

作者： Gopal DATT Bhawna Bansal GUPTA Department of Mathematics PGDAV CollegeUniversity of DelhiNew Delhi-110065India Department of Mathematics Miranda HouseUniversity of DelhiDelhi-110007India

An extension of slant hankel operator,namely,the kth-orderλ-slant hankel operator on the Lebesgue space L^(2)(T^(n)),where T is the unit circle and n≥1,a natural number,is described in terms of the solution of a system of operator equations,which is subsequently expressed in terms of the product of a slant hankel operator and a unitary *** study is further lifted in Calkin algebra in terms of essentially kth-orderλ-slant hankel operators on L^(2)(T^(n)).

关键词： hankel operator Lebesgue space of n-dimensional torus kth-order slant hankel operator essentially kth-orderλ-slant hankel operator

BIG hankel operatorS ON HARDY SPACES OF STRONGLY PSEUDOCONVEX DOMAINS

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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

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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

关键词： hankel operator Hardy space Bergman space pseudoconvex domain

hankel operators on exponential Bergman spaces

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Science China Mathematics 2022年第2期65卷 421-442页

作者： Zhangjian Hu Jordi Pau Department of Mathematics Huzhou UniversityHuzhou 313000China Departament de Matematiques i Informatica Universitat de BarcelonaBarcelona 08007Spain

We completely describe the boundedness and compactness of hankel operators with general symbols acting on Bergman spaces with exponential type weights.

关键词： weighted Bergman space hankel operator ?-equation

hankel operatorS AND hankel ALGEBRAS

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Chinese Annals of Mathematics,Series B 1998年第1期19卷 65-76页

作者： YAN SHAOZONG CHEN XIAOMAN GUO KUNYU 复旦大学数学系上海

The authors study the basic properties of hankel operators and the structures of hankel algebras relative to ordered groups,providing a new class of C*-algebras which are very useful in general C*-algebra theory.

关键词： hankel operator hankel algebra Commutator ideal

Small hankel operators on the Dirichlet-Type Spaces on the Unit Ball of C^n

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Acta Mathematica Sinica,English Series 2004年第2期20卷 261-272页

作者： PengYanHU WenJunZHANG DepartmentofMathematics NormalCollegeofShenzhenUniversityShenzhen518060P.R.China

In this paper the small hankel operators on the Dirichlet-type spaces D p on the unit ball of C n are considered. A similar result to that of the one-dimensional setting is given, which characterizes the boundedness o... 详细信息

关键词： Dirichlet Type Space hankel operator p-Carleson Measure

EXTENSIONS OF HILBERT MODULES AND hankel operatorS

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Chinese Annals of Mathematics,Series B 2000年第1期21卷 17-24页

作者： GUO KUNYU Department of Mathematics Fudan universityShanghai 200433China

Extensions of the Hardy and the Bergman modules over the disc algebra are *** author relates extensions of these canonical modules to the symbol spaces of corresponding hankel *** the context of function theory,an explicit formula of Ext(L^(2)_(a)(D),H^(2)(D))is ***,it is also proved that Ext(L^(2)_(a)(D),L:(D))≠*** may be the essential difference between the Hardy and the Bergman modules over the disk algebra.

关键词： Hilbert module hankel operator Disc algebra Symbol space

THE COMPACTNESS OF A KIND OF GENERALIZED hankel operatorS ON THE BERGMAN SPACE OF THE UNIT BALL

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Acta Mathematica Scientia 2000年第4期20卷 471-475页

作者：罗罗史济怀 Department of Mathematics University of Science and Technology of China Hefei 230026 China

This paper gives the compactness criteria for a kind of generalized hankel operators on Bergman spaces Lpa(B) defined by M. M. Peloso.

关键词： hankel operator Compactness Bergman spa?

The S_p Property of a kind of hankel operators and Toeplitz operators

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Journal of Mathematical Research and Exposition 2006年第1期26卷 14-18页

作者：张成国姚祖喜中央民族大学数学系北京100081

For two kind of MSebius invariant subspace A^α,d（D） and A^β,2 （D）, define the Toeplitz operators Tf^s and hankel operators Hf^r on A^α,d（D）×A^β,2 （D） with an arbi-trary analytic ＂symbol function＂ f on a... 详细信息

关键词： Moebius group weighted Bergman space Toeplitz operator hankel operator paracommutator Schatten-von Neumann property.

THE BEREZIN TRANSFORM AND ITS APPLICATIONS

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Acta Mathematica Scientia 2021年第6期41卷 1839-1858页

作者： Kehe ZHU Department of Mathematics and Statistics State University of New YorkAlbanyNY12222USA

We give a survey on the Berezin transform and its applications in operator theory. The focus is on the Bergman space of the unit disk and the Fock space of the complex plane. The Berezin transform is most effective an... 详细信息

关键词： reproducing kernel reproducing kernel Hilbert space Hardy space Bergman space Fock space Berezin transform Toeplitz operator hankel operator composition operator