Banach space structure of weighted Fock-Sobolev spaces

doi:10.1007/s11464-015-0516-0

Front. Math. China

2016, Vol. 11

Issue (3) : 693-703 https://doi.org/10.1007/s11464-015-0516-0

RESEARCH ARTICLE

Banach space structure of weighted Fock-Sobolev spaces

Li HE¹,Guangfu CAO^2,^*(

)

1. Institute of Mathematics, Guangzhou University, Guangzhou 510006, China
2. Institute of Mathematics, South China Agricultural University, Guangzhou 510642, China

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Abstract

We discuss the Banach space structure of the fractional order weighted Fock-Sobolev spaces ? ^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

Corresponding Author(s): Guangfu CAO

Issue Date: 17 May 2016

Cite this article:

Li HE,Guangfu CAO. Banach space structure of weighted Fock-Sobolev spaces[J]. Front. Math. China, 2016, 11(3): 693-703.

URL:

https://academic.hep.com.cn/fmc/EN/10.1007/s11464-015-0516-0
https://academic.hep.com.cn/fmc/EN/Y2016/V11/I3/693

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