Characterizations of a Class of Dirichlet-Type Spaces and Related Operators

Xiaosong Liu; Songxiao Li

doi:10.1155/2020/6631047

Journal of Mathematics (Jan 2020)

Characterizations of a Class of Dirichlet-Type Spaces and Related Operators

Xiaosong Liu,
Songxiao Li

Affiliations

Xiaosong Liu: Department of Mathematics, Shantou University, Shantou 515063, Guangdong, China
Songxiao Li: Institute of Fundamental and Frontier Sciences, University of Electronic Science and Technology of China, Chengdu 610054, Sichuan, China

DOI: https://doi.org/10.1155/2020/6631047
Journal volume & issue: Vol. 2020

Abstract

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In this paper, some characterizations are given in terms of the boundary value and Poisson extension for the Dirichlet-type space Dμ. The multipliers of Dμ and Hankel-type operators from Dμ to L2PμdA are also investigated.

Published in Journal of Mathematics

ISSN: 2314-4629 (Print); 2314-4785 (Online)
Publisher: Wiley
Country of publisher: United Kingdom
LCC subjects: Science: Mathematics
Website: https://onlinelibrary.wiley.com/journal/1469

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