The Boundedness and Compactness of Multiplication Operators on Weighted Fock Spaces

本文凭借逐点估计、范数估计等相关技巧，给出了指标不同的加权Fock空间中乘法算子有界性与紧性的等价描述。In this paper, by pointwise estimation, norm estimation and other related techniques, the equivalent descriptions of the boundedness and compactness of multiplication operators in weighted Fock spaces with different indices are presented.

Authors

Publication Details

Journal
Pure Mathematics
Published
2025-01-01
DOI
https://doi.org/10.12677/pm.2025.151005
Citations
1
Primary Topic
Holomorphic and Operator Theory
Type
article
Field-Weighted Citation Impact
3.73
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article

The Boundedness and Compactness of Multiplication Operators on Weighted Fock Spaces

欣 何
1 citations
Pure Mathematics
Holomorphic and Operator Theory
3.73
article

The Boundedness and Compactness of Multiplication Operators on Weighted Fock Spaces

欣 何
article en
1 citations

Abstract

本文凭借逐点估计、范数估计等相关技巧，给出了指标不同的加权Fock空间中乘法算子有界性与紧性的等价描述。In this paper, by pointwise estimation, norm estimation and other related techniques, the equivalent descriptions of the boundedness and compactness of multiplication operators in weighted Fock spaces with different indices are presented.

Pure MathematicsVol. 15(01)
Openalex Percentile: Top 14%
Holomorphic and Operator Theory
3.73
DOIOpen Access PDFOpenAlex
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The Boundedness and Compactness of Multiplication Operators on Weighted Fock Spaces — 欣 何 · Pure Mathematics (2025) | TGRS Research Map | TGRS