AI Chat Paper
Note: Please note that the following content is generated by AMiner AI. SciOpen does not take any responsibility related to this content.
{{lang === 'zh_CN' ? '文章概述' : 'Summary'}}
{{lang === 'en_US' ? '中' : 'Eng'}}
Chat more with AI
Powered by AMiner. Clicking this button will take you away from SciOpen.
Home AIMS Mathematics Article
PDF (252.6 KB)
Cite
EndNote(RIS) BibTeX
Collect
Submit Manuscript AI Chat Paper
Show Outline
Outline
Show full outline
Hide outline
Outline
Show full outline
Hide outline
Research Article | Open Access

Martingale transforms in martingale Hardy spaces with variable exponents

Tao Ma1, Jianzhong Lu2( ), Xia Wu2
School of Mathematics and Statistics, South-Central Minzu University, Wuhan 430072, China
School of Mathematics and Information, Xiangnan University, Chenzhou 423000, China
Show Author Information

Abstract

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.

Keywords

variable exponentmartingale Hardy spacemartingale transformDoob's maximal inequalityLipschitz space
CLC number: 60G42, 60G46

References

【1】
【1】
 
 
Crossref Google Scholar
AIMS Mathematics
Volume 9 Issue 8,
August 2024
Pages 22041-22056
DOI: 10.3934/math.20241071

{{item.num}}

Comments on this article

Go to comment

< Back to all reports

Review Status: {{reviewData.commendedNum}} Commended , {{reviewData.revisionRequiredNum}} Revision Required , {{reviewData.notCommendedNum}} Not Commended Under Peer Review

Review Comment

Cite this Report
Close
Close
Cite this article:
Ma T, Lu J, Wu X. Martingale transforms in martingale Hardy spaces with variable exponents. AIMS Mathematics, 2024, 9(8): 22041-22056. https://doi.org/10.3934/math.20241071

3

Views

0

Downloads

0

Crossref

0

Web of Science

0

Scopus
Received: 31 May 2024
Revised: 27 June 2024
Accepted: 01 July 2024
Published: 15 August 2024
©2024 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)