Trace theorems on Herz-Morrey spaces with applications to Sobolev type inequalities
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.
Authors
- Ioan‐Lucian Popa (ORCID: https://orcid.org/0000-0001-8042-1806)
- Babar Sultan (ORCID: https://orcid.org/0000-0003-2833-4101)
- Najla M. Aloraini (ORCID: https://orcid.org/0000-0002-7575-5630)
- Abdul Hamid Ganie (ORCID: https://orcid.org/0000-0002-1787-5036)
- Ghada Ali Basendwah (ORCID: https://orcid.org/0009-0009-5487-8234)
Institutions
- Saudi Electronic University (SA)
- Quaid-i-Azam University (PK)
- Qassim University (SA)
- King Abdulaziz University (SA)
- Transylvania University of Brașov (RO)
- 1 Decembrie 1918 University (RO)
Publication Details
- Journal
- Boundary Value Problems
- Published
- 2025-09-25
- DOI
- https://doi.org/10.1186/s13661-025-02119-2
- Citations
- 1
- Primary Topic
- Advanced Harmonic Analysis Research
- Type
- article
- Field-Weighted Citation Impact
- 3.73