Boundedness of fractional integrals on grand weighted Herz spaces with variable exponent-Reference-Cited by-同舟云学术

Boundedness of fractional integrals on grand weighted Herz spaces with variable exponent

Published:2023 Issue:1 Volume:8 Page:752-764
ISSN:2473-6988
Container-title:AIMS Mathematics
language:
Short-container-title:MATH

Author:

Sultan Babar¹,Sultan Mehvish²,Mehmood Mazhar³,Azmi Fatima⁴,Alghafli Maryam Ali⁴,Mlaiki Nabil⁴

Affiliation:

1. Department of Mathematics, Quaid-I-Azam University, Islamabad 45320, Pakistan

2. Department of Mathematics, Capital University of Science and Technology, Islamabad, Pakistan

3. Department of Mathematics, Government Post Graduate College Haripur 22620, KPK, Pakistan

4. Department of Mathematics and Sciences, Prince Sultan University, Riyadh 11586, Saudi Arabia

Abstract

<abstract><p>In this paper, we introduce grand weighted Herz spaces with variable exponent and prove the boundedness of fractional integrals on these spaces.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

General Mathematics

Reference35 articles.

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3. D. Cruz-Uribe, A. Fiorenza, J. M. Martell, C. Pérez, The boundedness of classical operators on variable $L^p$ spaces, Ann. Acad. Sci. Fenn. Math., 31 (2006), 239–264. https://doi.org/10.1146/annurev.energy.31.020105.100323

4. D. Cruz-Uribe, A. Fiorenza, Variable Lebesgue spaces: Foundations and harmonic analysis, Applied and Numerical Harmonic Analysis, Heidelberg: Birkhäuser Basel, 2013. https://doi.org/10.1007/978-3-0348-0548-3

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