Duality of Large Fock Spaces in Several Complex Variables and Compact Localization Operators-Reference-Cited by-同舟云学术

Duality of Large Fock Spaces in Several Complex Variables and Compact Localization Operators

Published:2021-02-05 Issue: Volume:2021 Page:1-17
ISSN:2314-8888
Container-title:Journal of Function Spaces
language:en
Short-container-title:Journal of Function Spaces

Author:

Liu Youqi¹^ORCID,Wang Xiaofeng¹^ORCID

Affiliation:

1. School of Mathematics and Information Science and Key Laboratory of Mathematics and Interdisciplinary Sciences of the Guangdong Higher Education Institute, Guangzhou University, Guangzhou 510006, China

Abstract

In this paper, dual spaces of large Fock spaces

F_{ϕ}^{p}

with

0 < p < \infty

are characterized. Also, algebraic properties and equivalent conditions for compactness of weakly localized operators are obtained on

F_{ϕ}^{p} (0 < p < \infty)

Funder

National Natural Science Foundation of China

Publisher

Hindawi Limited

Subject

Analysis

Link

http://downloads.hindawi.com/journals/jfs/2021/6619459.pdf

Reference18 articles.

1. Integral Operators Induced by the Fock Kernel

2. Toeplitz operators from one Fock space to another;Z. J. Hu;Integral Equations and Operator Theory,2011

3. Analysis on Fock Spaces;K. H. Zhu,2012

4. Localization and compactness of operators on Fock spaces;Z. J. Hu;Journal of Mathematical Analysis and Applications,2018

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