2017Dissertationes MathematicaeRequires access

Hardy spaces for ball quasi-Banach function spaces

Yoshihiro Sawano, Kwok‐Pun Ho, Dachun Yang, Sibei Yang

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Abstract

This article unifies the theory for Hardy spaces built on Banach lattices on ${\mathbb{R}}^n$ satisfying certain weak conditions on indicator functions of balls. The authors introduce a new family of function spaces, named the ball quasi-Banach functi

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What this paper is about

This article unifies the theory for Hardy spaces built on Banach lattices on ${\mathbb{R}}^n$ satisfying certain weak conditions on indicator functions of balls. The authors introduce a new family of function spaces, named the ball quasi-Banach functi

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OpenAlex reports 150 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

This article unifies the theory for Hardy spaces built on Banach lattices on ${\mathbb{R}}^n$ satisfying certain weak conditions on indicator functions of balls. The authors introduce a new family of function spaces, named the ball quasi-Banach functi

Key concepts: Mathematics, Ball (mathematics), Banach space, Pure mathematics, Interpolation space, Function space, Lp space, Eberlein–Šmulian theorem

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