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October 2019 Intrinsic square function characterizations of weak Musielak–Orlicz Hardy spaces
Xianjie Yan
Banach J. Math. Anal. 13(4): 969-988 (October 2019). DOI: 10.1215/17358787-2019-0007

Abstract

Let φ:Rn×[0,)[0,) satisfy that, for any given xRn, φ(x,) is an Orlicz function and φ(,t) is a Muckenhoupt A(Rn) weight uniformly in t(0,). In this article, via using the atomic and Littlewood–Paley function characterizations of the weak Musielak–Orlicz Hardy space WHφ(Rn), for any α(0,1] and sZ+, we first establish its s-order intrinsic square function characterizations in terms of the intrinsic Lusin area function Sα,s, the intrinsic g-function gα,s and the intrinsic gλ-function gλ,α,s with the best known range λ(2+2(α+s)/n,).

Citation

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Xianjie Yan. "Intrinsic square function characterizations of weak Musielak–Orlicz Hardy spaces." Banach J. Math. Anal. 13 (4) 969 - 988, October 2019. https://doi.org/10.1215/17358787-2019-0007

Information

Received: 2 December 2018; Accepted: 12 February 2019; Published: October 2019
First available in Project Euclid: 9 October 2019

zbMATH: 07118770
MathSciNet: MR4016905
Digital Object Identifier: 10.1215/17358787-2019-0007

Subjects:
Primary: 42B25
Secondary: 42B30, 42B35, 46E30

Rights: Copyright © 2019 Tusi Mathematical Research Group

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Vol.13 • No. 4 • October 2019
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