一个高阶索博列夫嵌入

IF 0.8 3区数学 Q2 MATHEMATICS

Mathematika Pub Date : 2025-03-12 DOI:10.1112/mtk.70012

Raul Hindov, Shahaf Nitzan, Jan-Fredrik Olsen, Eskil Rydhe

引用次数: 0

摘要

我们从Sobolev空间得到尖锐嵌入到空间中，并确定了极值函数。这改进了先前由于Kalyabin对这些嵌入的尖锐常数的估计。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

A sharp higher order Sobolev embedding

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A sharp higher order Sobolev embedding

We obtain sharp embeddings from the Sobolev space into the space and determine the extremal functions. This improves on a previous estimate of the sharp constants of these embeddings due to Kalyabin.

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来源期刊

Mathematika MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

1.40

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Mathematika publishes both pure and applied mathematical articles and has done so continuously since its founding by Harold Davenport in the 1950s. The traditional emphasis has been towards the purer side of mathematics but applied mathematics and articles addressing both aspects are equally welcome. The journal is published by the London Mathematical Society, on behalf of its owner University College London, and will continue to publish research papers of the highest mathematical quality.