Banach space structure of weighted Fock-Sobolev spaces

Abstract

We discuss the Banach space structure of the fractional order weighted Fock-Sobolev spaces ℱ ^p_α,s, 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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2014 Higher Education Press and Springer-Verlag Berlin Heidelberg