Frontiers of Mathematics in China >

2016 , Vol. 11 >Issue 3: 693 - 703

DOI: https://doi.org/10.1007/s11464-015-0516-0

RESEARCH ARTICLE

Banach space structure of weighted Fock-Sobolev spaces

  • Li HE 1 ,
  • Guangfu CAO , 2
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  • 1. Institute of Mathematics, Guangzhou University, Guangzhou 510006, China
  • 2. Institute of Mathematics, South China Agricultural University, Guangzhou 510642, China

Received date: 22 May 2015

Accepted date: 22 Jan 2016

Published date: 17 May 2016

Copyright

2014 Higher Education Press and Springer-Verlag Berlin Heidelberg
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Abstract

We discuss the Banach space structure of the fractional order weighted Fock-Sobolev spaces ℱ pα,s, mainly include giving some growth estimates for Fock-Sobolev functions and approximating them by a sequence of ‘nice’ functions in two different ways.

Key words： weighted Fock-Sobolev space; approximation

Cite this article

Li HE , Guangfu CAO . Banach space structure of weighted Fock-Sobolev spaces[J]. Frontiers of Mathematics in China, 2016 , 11(3) : 693 -703 . DOI: 10.1007/s11464-015-0516-0

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