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2023-02-27
On the weighted inequality between the Gagliardo and Sobolev seminorms
Ritva Hurri-SyrjänenJavier C. Martínez-PeralesCarlos PérezAntti V. Vähäkangas
文献摘要
We prove weighted inequalities between the Gagliardo and Sobolev seminorms and also between the Marcinkiewicz quasi-norm and the Sobolev seminorm. With weights we improve earlier results of Bourgain, Brezis, and Mironescu.
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