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Banach space structure of weighted Fock-Sobolev spaces. (English) Zbl 1364.32003

Summary: We discuss the Banach space structure of the fractional order weighted Fock-Sobolev spaces \(\mathcal F_{\alpha,s}^p\), mainly include giving some growth estimates for Fock-Sobolev functions and approximating them by a sequence of ‘nice’ functions in two different ways.

MSC:

32A15 Entire functions of several complex variables
32A37 Other spaces of holomorphic functions of several complex variables (e.g., bounded mean oscillation (BMOA), vanishing mean oscillation (VMOA))
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