Operators on Sobolev Type Spaces
Cited by
Export citation
- BibTex
- RIS
- TXT
@Article{CMR-39-254,
author = {Cao , Guangfu and He , Li},
title = {Operators on Sobolev Type Spaces},
journal = {Communications in Mathematical Research },
year = {2023},
volume = {39},
number = {2},
pages = {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.
}, issn = {2707-8523}, doi = {https://doi.org/10.4208/cmr.2022-0032}, url = {http://global-sci.org/intro/article_detail/cmr/21547.html} }
TY - JOUR
T1 - Operators on Sobolev Type Spaces
AU - Cao , Guangfu
AU - He , Li
JO - Communications in Mathematical Research
VL - 2
SP - 254
EP - 286
PY - 2023
DA - 2023/04
SN - 39
DO - http://doi.org/10.4208/cmr.2022-0032
UR - https://global-sci.org/intro/article_detail/cmr/21547.html
KW - Hardy-Sobolev space, Fock-Sobolev space, multiplier, composition operator, Toeplitz operator, Hankel operator.
AB -
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.
Cao , Guangfu and He , Li. (2023). Operators on Sobolev Type Spaces.
Communications in Mathematical Research . 39 (2).
254-286.
doi:10.4208/cmr.2022-0032
Copy to clipboard