On Embedding of Besov Spaces of Zero Smoothness into Lorentz Spaces

IF 0.4 4区数学 Q4 MATHEMATICS

Proceedings of the Steklov Institute of Mathematics Pub Date : 2024-03-06 DOI:10.1134/s0081543823050127

D. M. Stolyarov

引用次数: 0

Abstract

We show that the zero smoothness Besov space \(B_{p,q}^{0,1}\) does not embed into the Lorentz space \(L_{p,q}\) unless \(p=q\); here \(p,q\in (1,\infty)\). This answers in the negative a question posed by O. V. Besov.

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论零光滑度贝索夫空间嵌入洛伦兹空间

Abstract 我们证明了零光滑度贝索夫空间（B_{p,q}^{0,1}\）不会嵌入洛伦兹空间（L_{p,q}\），除非 \(p=q\)；这里是 \(p,q\in(1,\infty)\)。这从反面回答了 O. V. Besov 提出的一个问题。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Proceedings of the Steklov Institute of Mathematics MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

0.90

自引率

20.00%

发文量

审稿时长

4-8 weeks

期刊介绍： Proceedings of the Steklov Institute of Mathematics is a cover-to-cover translation of the Trudy Matematicheskogo Instituta imeni V.A. Steklova of the Russian Academy of Sciences. Each issue ordinarily contains either one book-length article or a collection of articles pertaining to the same topic.