Boundedness of some operators on grand Herz spaces with variable exponent-Reference-Cited by-同舟云学术

Boundedness of some operators on grand Herz spaces with variable exponent

Published:2023 Issue:6 Volume:8 Page:12964-12985
ISSN:2473-6988
Container-title:AIMS Mathematics
language:
Short-container-title:MATH

Author:

Sultan Mehvish¹,Sultan Babar²,Aloqaily Ahmad³⁴,Mlaiki Nabil³

Affiliation:

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

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

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

4. School of computer, Data and Mathematical Sciences, Western Sydney University, Australia-Sydney-2150

Abstract

<abstract><p>Our aim in this paper is to prove boundedness of an intrinsic square function and higher order commutators of fractional integrals on grand Herz spaces with variable exponent $ {\dot{K} ^{a(\cdot), u), \theta}_{ s(\cdot)}(\mathbb{R}^n)} $ by applying some properties of variable exponent.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

General Mathematics

Reference20 articles.

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2. B. Sultan, M. Sultan, M. Mehmood, F. Azmi, M. A. Alghafli, N. Mlaiki, Boundedness of fractional integrals on grand weighted Herz spaces with variable exponent, AIMS Math., 8 (2023), 752–764. https://doi.org/10.3934/math.2023036

3. V. Kokilashvili, A. Meskhi, H. Rafeiro, S. Samko, Integral operators in non-standard function spaces, Birkhuser, 2016. https://doi.org/10.1007/978-3-319-21018-6

4. B. Sultan, F. Azmi, M. Sultan, M. Mehmood, N. Mlaiki, Boundedness of Riesz potential operator on grand Herz-Morrey spaces, Axioms, 11 (2022), 583. https://doi.org/10.3390/axioms11110583

5. A. Hussain, M. Asim, F. Jarad, Variable $\lambda$-central Morrey space estimates for the fractional Hardy operators and commutators, J. Math., 2022 (2022), 5855068. https://doi.org/10.1155/2022/5855068

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