Wavelets Convergence and Unconditional Bases for Lp(ℝn) and H1(ℝn). (5th February 2014)

• Record Type: Journal Article
• Authors: Kumar, Devendra
• Other Names: Wang Z. Academic Editor.; Zhang J. Academic Editor.
• Is Part Of: Chinese journal of mathematics. Volume 2014(2014)
• Publication Date: 2014-02-05
• Subjects: Mathematics -- Periodicals; Mathematics; Periodicals
• DOI: 10.1155/2014/984280
• Languages: English
• ISSNs: 2314-8071

Abstract

Abstract : We prove that reasonable nice wavelets form unconditional bases in function space other thanL 2 ( ℝ n, X ) . Moreover, characterization of convergence of wavelets series inL p ( ℝ n, X ) space and Hardy spaceH 1 ( ℝ n, X ) has been obtained. Here, X is a Banach space with boundedness of Riesz transform.