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Operators on Sobolev Type Spaces |
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| Authors: | Guangfu Cao & Li He |
| Abstract: | In this paper, we introduce the work done on Hardy-Sobolev spacesand 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. |
| Keywords: | Hardy-Sobolev space Fock-Sobolev space multiplier composition operator Toeplitz operator Hankel operator. |
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