Sobolev projection on quantum torus, its complete boundedness and applications

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2024-09-24 DOI:10.1016/j.jmaa.2024.128906

Fedor Sukochev , Kanat Tulenov , Dmitriy Zanin

引用次数: 0

Abstract

In this paper, we establish the complete boundedness of Sobolev projection from

L_{1} (T_{θ}^{d})

into

L_{1, \infty} (T_{θ}^{d})

. In the special case

θ = 0

, our results strengthen the classical results due to Berkson, Bourgain, Pelczynski and Wojciechowski.

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量子环上的索波列夫投影、其完全有界性及其应用

在本文中，我们建立了从 L1(Tθd) 到 L1,∞(Tθd)的索波列夫投影的完全有界性。在 θ=0 的特殊情况下，我们的结果加强了伯克森、布尔甘、佩尔琴斯基和沃伊切霍夫斯基的经典结果。

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

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.