Open AccessWavelets Convergence and Unconditional Bases for Lp(ℝn) and H1(ℝn)
Author(s) -
Devendra Kumar
Publication year - 2014
Publication title -
chinese journal of mathematics
Language(s) - English
Resource type - Journals
ISSN - 2314-8071
DOI - 10.1155/2014/984280
Subject(s) - algorithm , artificial intelligence , computer science
We prove that reasonable nice wavelets form unconditional bases in function space other than L2(ℝn, X). Moreover, characterization of convergence of wavelets series in Lp(ℝn, X) space and Hardy space H1(ℝn,X) has been obtained. Here, X is a Banach space with boundedness of Riesz transform
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