Weighted Hardy Spaces on a Domain and its Application

Akihiko Miyachi ()
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Akihiko Miyachi: Tokyo Woman’s Christian University, Department of Mathematics

A chapter in Function Spaces, Differential Operators and Nonlinear Analysis, 2003, pp 117-140 from Springer

Abstract: Abstract We give basic properties of the Hardy spaces on an open subset $$\Omega \subset \mathbb{R}^n $$ with respect to a doubling measure on Ω, and apply it to give the transplantation theorem for Jacobi series in Hardy spaces on a finite interval of $$\mathbb{R}$$ .

Keywords: Hardy Space; Maximal Function; Jacobi Polynomial; Atomic Decomposition; Doubling Condition (search for similar items in EconPapers)
Date: 2003
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-0348-8035-0_6

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DOI: 10.1007/978-3-0348-8035-0_6

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