Operators on Sobolev Type Spaces

Authors

  • Guangfu Cao
  • Li He

DOI:

https://doi.org/10.4208/cmr.2022-0032

Keywords:

Hardy-Sobolev space, Fock-Sobolev space, multiplier, composition operator, Toeplitz operator, Hankel operator.

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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Published

2023-04-07

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Issue

Vol. 39 No. 2 (2023)

Section

Articles

How to Cite

Operators on Sobolev Type Spaces. (2023). Communications in Mathematical Research, 39(2), 254-286. https://doi.org/10.4208/cmr.2022-0032