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arXiv · 2607.03807

Multiplication properties and the Rellich-Kondrachov theorem in Herz-type Sobolev spaces

Douadi Drihem
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Abstract

In this paper, we prove that Herz-type Sobolev spaces form a Banach algebra and establish a Rellich--Kondrachov compactness theorem for these spaces. These results extend the corresponding classical theory and further demonstrate that Herz-type Sobolev spaces provide a natural generalization of the classical Sobolev spaces.

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Douadi Drihem. 2026-07-04. Multiplication properties and the Rellich-Kondrachov theorem in Herz-type Sobolev spaces. https://arxiv.org/abs/2607.03807

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