Frontiers of Mathematics in China >
Banach space structure of weighted Fock-Sobolev spaces
Received date: 22 May 2015
Accepted date: 22 Jan 2016
Published date: 17 May 2016
Copyright
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
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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