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 Electronic Research Archive Article
PDF (513.6 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

Fractional integral associated with the Schrödinger operators on variable exponent space

Huali Wang1, Ping Li2( )
School of Mathematics and Statistics, Hubei University of Arts and Science, Xiangyang 441000, China
School of Informations and Mathematics, Yangtze University, Jingzhou 434000, China
Show Author Information

Abstract

Let L = − Δ + V be the Schrödinger operators on R n with nonnegative potential V belonging to the reverse Hölder class R H q for some q ≥ n 2 . We prove the boundedness of fractional integral operator I α related to the Schrödinger operators L from strong and weak variable exponent Lebesgue spaces into suitable variable exponent Lipschitz type spaces.

Keywords

Lipschitz spacesfractional integral operatorsSchrödinger operatorsvariable exponent spaces

References

【1】
【1】
 
 
Crossref Google Scholar
Electronic Research Archive
Volume 31 Issue 11,
November 2023
Pages 6833-6843
DOI: 10.3934/era.2023345

{{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:
Wang H, Li P. Fractional integral associated with the Schrödinger operators on variable exponent space. Electronic Research Archive, 2023, 31(11): 6833-6843. https://doi.org/10.3934/era.2023345

8

Views

0

Downloads

1

Crossref

1

Web of Science

1

Scopus
Received: 06 June 2023
Revised: 31 August 2023
Accepted: 09 October 2023
Published: 15 November 2023
©2023 the Author(s), licensee AIMS Press.

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