Year: 2023
Author: Guangfu Cao, Li He
Communications in Mathematical Research , Vol. 39 (2023), Iss. 2 : pp. 254–286
Abstract
In this paper, we introduce the work done on Hardy-Sobolev spaces and Fock-Sobolev spaces and their operators and operator algebras, including the study of boundedness, compactness, Fredholm property, index theory, spectrum and essential spectrum, norm and essential norm, Schatten-p classes, and the $C^∗$ algebras generated by them.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/cmr.2022-0032
Communications in Mathematical Research , Vol. 39 (2023), Iss. 2 : pp. 254–286
Published online: 2023-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 33
Keywords: Hardy-Sobolev space Fock-Sobolev space multiplier composition operator Toeplitz operator Hankel operator.