Trace Principle for Riesz Potentials on Herz-Type Spaces and Applications
Functional Analysis
2024-03-12 v1
Abstract
We establish trace inequalities for Riesz potentials on Herz-type spaces and discuss the optimality of conditions imposed on specific parameters. We also present some applications in the form of Sobolev-type inequalities, including the Gagliardo-Nirenberg-Sobolev inequality and the fractional integration theorem in the Herz space setting. In addition, we obtain a Sobolev embedding theorem for Herz-type Sobolev spaces.
Cite
@article{arxiv.2403.05929,
title = {Trace Principle for Riesz Potentials on Herz-Type Spaces and Applications},
author = {M. Ashraf Bhat and G. Sankara Raju Kosuru},
journal= {arXiv preprint arXiv:2403.05929},
year = {2024}
}