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Banach space structure of weighted Fock-Sobolev spaces
Authors:Li He  Guangfu Cao
Affiliation:1. Institute of Mathematics, Guangzhou University, Guangzhou 510006, China2. Institute of Mathematics, South China Agricultural University, Guangzhou 510642, China
Abstract:We discuss the Banach space structure of the fractional order weighted Fock-Sobolev spaces F α,s p , mainly include giving some growth estimates for Fock-Sobolev functions and approximating them by a sequence of ‘nice’ functions in two different ways.
Keywords:weighted Fock-Sobolev space  approximation  
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