Littlewood-Paley函数与triiebel - lizorkin空间，Besov空间

IF 0.4 Q4 MATHEMATICS Analysis in Theory and Applications Pub Date : 2021-06-01 DOI:10.4208/ata.2021.lu80.01

global sci

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引用次数: 2

摘要

。利用由球平均、球平均、Bochner-Riesz均值和其他一些著名算子定义的几个平方函数，建立了欧几里得空间中triiebel - lizorkin空间和Besov空间的Littlewood-Paley刻画。我们提供了一个简单的证明，以便我们能够扩展和改进最近发表在论文中的许多结果。

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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Littlewood-Paley Functions and Triebel-Lizorkin Spaces, Besov Spaces

. We establish Littlewood-Paley charaterizations of Triebel-Lizorkin spaces and Besov spaces in Euclidean spaces using several square functions deﬁned via the spherical average, the ball average, the Bochner-Riesz means and some other well-known operators. We provide a simple proof so that we are able to extend and improve many results published in recent papers.

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来源期刊

Analysis in Theory and Applications

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0.00%

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747