摘要
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.
基金
G.Cao was supported by the NNSF of China(Grant No.12071155)
L.He was supported by the NNSF of China(Grant No.11871170).