Multiplication Operator with BMO Symbols and Berezin Transform

Xue Feng; Kan Zhang; Jianguo Dong; Xianmin Liu; Chi Guan

doi:10.1155/2015/754646

Journal of Function Spaces (Jan 2015)

Multiplication Operator with BMO Symbols and Berezin Transform

Xue Feng,
Kan Zhang,
Jianguo Dong,
Xianmin Liu,
Chi Guan

Affiliations

Xue Feng: College of Sciences, Shenyang Agricultural University, Shenyang 110866, China
Kan Zhang: College of Sciences, Shenyang Agricultural University, Shenyang 110866, China
Jianguo Dong: College of Sciences, Shenyang Agricultural University, Shenyang 110866, China
Xianmin Liu: College of Sciences, Shenyang Agricultural University, Shenyang 110866, China
Chi Guan: College of Sciences, Shenyang Agricultural University, Shenyang 110866, China

DOI: https://doi.org/10.1155/2015/754646
Journal volume & issue: Vol. 2015

Abstract

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We discuss multiplication operator with a special symbol on the weighted Bergman space of the unit ball. We give the necessary and sufficient conditions for the compactness of multiplication operator on the weighted Bergman space of the unit ball.

Published in Journal of Function Spaces

ISSN: 2314-8896 (Print); 2314-8888 (Online)
Publisher: Wiley
Country of publisher: United Kingdom
LCC subjects: Science: Mathematics
Website: https://onlinelibrary.wiley.com/journal/9303

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