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 (260 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

Sharp weak bounds for fractional Hardy-type operators on homogeneous groups

Hongbin Liu1, Juan Zhang1( ), Qianjun He2
School of Science, Beijing Forestry University, Beijing 100083, China
School of Applied Science, Beijing Information Science and Technology University, Beijing 100192, China
Show Author Information

Abstract

In this paper, we establish weak bounds for fractional Hardy operators on central Morrey spaces within the framework of homogeneous groups. We provide precise operator norms and investigate weak bounds for Hardy operators on central Morrey spaces with power weights. These results significantly extend previous findings in the study of Hardy-type operators and contribute to a broader understanding of their behavior in more general settings, particularly within homogeneous groups.

Keywords

homogeneous groupfractional Hardy-type operatorssharp weak boundscentral Morrey spacesweighted estimates
CLC number: 42B35, 47A30

References

【1】
【1】
 
 
Crossref Google Scholar
AIMS Mathematics
Volume 10 Issue 10,
October 2025
Pages 23292-23305
DOI: 10.3934/math.20251033

{{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:
Liu H, Zhang J, He Q. Sharp weak bounds for fractional Hardy-type operators on homogeneous groups. AIMS Mathematics, 2025, 10(10): 23292-23305. https://doi.org/10.3934/math.20251033

193

Views

3

Downloads

0

Crossref

0

Web of Science

0

Scopus
Received: 10 June 2025
Revised: 06 August 2025
Accepted: 01 September 2025
Published: 14 October 2025
©2025 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)