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 - <p style="text-align: justify;">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.</p>