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.

1. B. Sultan, F. M. Azmi, M. Sultan, T. Mahmood, N. Mlaiki, N. Souayah, Boundedness of fractional integrals on grand weighted Herz-Morrey spaces with variable exponent, Fractal Fract., 6 (2022), 660. https://doi.org/10.3390/fractalfract6110660

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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