Boundedness criteria for the fractional integral and fractional maximal operator on Morrey spaces generated by the Gegenbauer differential operator-Reference-Cited by-同舟云学术

Boundedness criteria for the fractional integral and fractional maximal operator on Morrey spaces generated by the Gegenbauer differential operator

Published:2023-07-31 Issue:18 Volume:46 Page:18605-18632
ISSN:0170-4214
Container-title:Mathematical Methods in the Applied Sciences
language:en
Short-container-title:Math Methods in App Sciences

Author:

Ibrahimov Elman J.¹^ORCID,Jafarova Saadat Ar.²,Bandaliyev Rovshan A.¹³

Affiliation:

1. Institute of Mathematics and Mechanics of the Ministry of Science and Education of the Republic of Azerbaijan Baku Azerbaijan

2. Azerbaijan State University of Economics (UNEC) Baku Azerbaijan

3. Azerbaijan University of Architecture and Construction Baku Azerbaijan

Abstract

In this paper, we establish necessary and sufficient conditions for the boundedness of the fractional integral on G‐Morrey space generated by Gegenbauer differential operator. A similar problem is studied for the fractional maximal operator.

Publisher

Wiley

Subject

General Engineering,General Mathematics

Link

https://onlinelibrary.wiley.com/doi/pdf/10.1002/mma.9582

Reference20 articles.

1. Fractional calculus, zeta functions and Shannon entropy

2. Fractional derivatives in complex planes

3. From differences to derivatives;Ortigueira M. D.;Fract. Calc. Appl. Anal.,2004

4. Expansion formulas and addition theorems for Gegenbauer functions

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