Work

Trace theorems on Herz-Morrey spaces with applications to Sobolev type inequalities

Year: 2025

Type: article

Abstract: In this paper, we prove the trace theorems in the setting of Riesz potential operator for Herz-Morrey spaces and present some examples to illustrate the optimality of certain parametric conditions. As an application we prove the same inequalities including Sobolev-type inequalities and Gagliardo-Nirenberg-Sobolev inequality on Herz-Morrey spaces under some proper assumptions on the exponents. We will also establish the Sobolev embedding theorem for Herz-Morrey Sobolev spaces.

Source: Boundary Value Problems

DOI: 10.1186/s13661-025-02119-2

Authors: Abdul Hamid Ganie, Ghada Ali Basendwah, Babar Sultan, Najla M. Aloraini, Ioan-Lucian Popa

Institutions: Saudi Electronic University, King Abdulaziz University, Quaid-i-Azam University, Qassim University, Transylvania University of Brașov, 1 Decembrie 1918 University

Language: English

Topic: Advanced Harmonic Analysis Research

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $1,890

OpenAlex ID: W4414510963

FWCI: 5.629

Cites: 33

Cited by: 3

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