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arXiv · 2004.05445

Herz-Sobolev spaces on domains

Douadi Drihem
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Abstract

We introduce Herz-Sobolev spaces, which unify and generalize the classical Sobolev spaces. We will give a proof of the Sobolev-type embedding for these function spaces. All these results generalize the classical results on Sobolev spaces. Some remarks on Caffarelli--Kohn--Nirenberg inequality are given.

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Douadi Drihem. 2020-04-11. Herz-Sobolev spaces on domains. https://arxiv.org/abs/2004.05445

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