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arXiv · 2403.05929

Trace Principle for Riesz Potentials on Herz-Type Spaces and Applications

M. Ashraf Bhat·G. Sankara Raju Kosuru
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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.

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M. Ashraf Bhat, G. Sankara Raju Kosuru. 2024-03-09. Trace Principle for Riesz Potentials on Herz-Type Spaces and Applications. https://arxiv.org/abs/2403.05929

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