Wavelets and Real Interpolation of Besov Spaces

Zhenzhen Lou, Qixiang Yang, Jianxun He and Kaili He
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Zhenzhen Lou: School of Mathematics and Information Sciences, Guangzhou University, Guangzhou 510006, China
Qixiang Yang: School of Mathematics and Statistics, Wuhan University, Wuhan 430072, China
Jianxun He: School of Mathematics and Information Sciences, Guangzhou University, Guangzhou 510006, China
Kaili He: School of Mathematics and Information Sciences, Guangzhou University, Guangzhou 510006, China

Mathematics, 2021, vol. 9, issue 18, 1-11

Abstract: In view of the importance of Besov space in harmonic analysis, differential equations, and other fields, Jaak Peetre proposed to find a precise description of ( B p 0 s 0 , q 0 , B p 1 s 1 , q 1 ) ? , r . In this paper, we come to consider this problem by wavelets. We apply Meyer wavelets to characterize the real interpolation of homogeneous Besov spaces for the crucial index p and obtain a precise description of ( B ? p 0 s , q , B ? p 1 s , q ) ? , r .

Keywords: real interpolation; besov space; meyer wavelet (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2021
References: View complete reference list from CitEc
Citations: View citations in EconPapers (2)

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