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2014 Multipliers on Generalized Mixed Norm Sequence Spaces
Oscar Blasco, Carme Zaragoza-Berzosa
Abstr. Appl. Anal. 2014: 1-15 (2014). DOI: 10.1155/2014/983273


Given 1p,q and sequences of integers (nk)k and (nk)k such that nknknk+1, the generalized mixed norm space (p,q) is defined as those sequences (aj)j such that ((jIk|aj|p)1/p)kq where Ik={j0s.t.nkj<nk}, k0. The necessary and sufficient conditions for a sequence λ=(λj)j to belong to the space of multipliers ((r,s),𝒥(u,v)), for different sequences and 𝒥 of intervals in 0, are determined.


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Oscar Blasco. Carme Zaragoza-Berzosa. "Multipliers on Generalized Mixed Norm Sequence Spaces." Abstr. Appl. Anal. 2014 1 - 15, 2014.


Published: 2014
First available in Project Euclid: 2 October 2014

zbMATH: 07023453
MathSciNet: MR3193564
Digital Object Identifier: 10.1155/2014/983273

Rights: Copyright © 2014 Hindawi

Vol.2014 • 2014
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