Sharp bounds for certain m-linear integral operators on p-adic function spaces-Reference-Cited by-同舟云学术

Sharp bounds for certain m-linear integral operators on p-adic function spaces

Published:2022 Issue:3 Volume:36 Page:801-812
ISSN:0354-5180
Container-title:Filomat
language:en
Short-container-title:Filomat

Author:

Batbold Tserendorj¹,Sawano Yoshihiro²,Tumendemberel Ganbaatar³

Affiliation:

1. Department of Mathematics, National University of Mongolia, Ulaanbaatar, Mongolia

2. Department of Mathematics, Chuo University, Kasuga, Tokyo, Japan

3. Department of Mathematics, New Mongol Institute of Technology, Ulaanbaatar, Mongolia

Abstract

In this paper, we establish necessary and sufficient conditions for boundedness of m-linear p-adic integral operators with general homogeneous kernel on p-adic Lebesgue spaces and p-adic Morrey spaces, respectively. In each case, we obtain the corresponding operator norms. Also, we deal with some particular examples and compare them with the previously known from the literature.

Publisher

National Library of Serbia

Subject

General Mathematics

Reference9 articles.

1. Ts. Batbold, Y. Sawano, Sharp bounds for m-linear Hilbert-type operators on the weighted Morrey spaces, Mathematical Inequalities & Applications 20 (2017) 263-283.

2. Á. Bényi, T. Oh, Best constants for certain multilinear integral operators, Journal of Inequalities and Applications 2006 (2006) 1-12.

3. Y. H. Cao and J. Zhou, Morrey spaces for nonhomogeneous metric measure spaces, Abstract and Applied Analysis 2013 (2013) 1-8.

4. Z. Fu, L. Grafakos, S. Lu, F. Zhao, Sharp bounds for m-linear Hardy and Hilbert operators, Houston Journal of Mathematics 38 (2012) 225-244.

5. H. Li, J. Jin, On a p-adic Hilbert-type integral operator and its applications, Journal of Applied Analysis and Computation 10 (2020) 1326-1334.

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