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AIMS Mathematics
Article . 2024 . Peer-reviewed
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AIMS Mathematics
Article . 2024
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Martingale transforms in martingale Hardy spaces with variable exponents

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 2024Publisher:American Institute of Mathematical Sciences (AIMS)Journal:AIMS Mathematics, volume 9, pages 22,041-22,056 (issn: 2473-6988, Copyright policy )
Authors: Tao Ma; Jianzhong Lu; Xia Wu;

doi: 10.3934/math.20241071

Martingale transforms in martingale Hardy spaces with variable exponents

Abstract

<p>In this paper, we considered the boundedness of Burkholder's martingale transforms for martingale Hardy spaces with variable exponents. In addition, through martingale transforms, some characterizations of predictable variable exponent martingale Hardy spaces were also provided.</p>

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Keywords

lipschitz space, variable exponent, QA1-939, doob's maximal inequality, martingale hardy space, martingale transform, Mathematics

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
1
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