Certain averaging operators on Triebel-Lizorkin spaces

IF 1 4区数学

Applied Mathematics-A Journal of Chinese Universities Series B Pub Date : 2022-12-21 DOI:10.1007/s11766-022-4035-3

Jun-yan Zhao, Ya-li Pan

引用次数: 0

Abstract

In this article, we study the boundedness properties of the averaging operator S ^γ_t on Triebel-Lizorkin spaces \(\dot F_{p,q}^\alpha \left( {{\mathbb{R}^n}} \right)\) for various p,q. As an application, we obtain the norm convergence rate for S ^γ_t (f) on Triebel-Lizorkin spaces and the relation between the smoothness imposed on functions and the rate of norm convergence of S ^γ_t is given.

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triiebel - lizorkin空间上的若干平均算子

本文研究了各种p,q在triiebel - lizorkin空间\(\dot F_{p,q}^\alpha \left( {{\mathbb{R}^n}} \right)\)上的平均算子S γt的有界性。作为应用，我们得到了S γt (f)在triiebel - lizorkin空间上的范数收敛速率，并给出了函数的光滑性与S γt范数收敛速率的关系。

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

Applied Mathematics-A Journal of Chinese Universities Series B MATHEMATICS, APPLIED-

自引率

10.00%

发文量

期刊介绍： Applied Mathematics promotes the integration of mathematics with other scientific disciplines, expanding its fields of study and promoting the development of relevant interdisciplinary subjects. The journal mainly publishes original research papers that apply mathematical concepts, theories and methods to other subjects such as physics, chemistry, biology, information science, energy, environmental science, economics, and finance. In addition, it also reports the latest developments and trends in which mathematics interacts with other disciplines. Readers include professors and students, professionals in applied mathematics, and engineers at research institutes and in industry. Applied Mathematics - A Journal of Chinese Universities has been an English-language quarterly since 1993. The English edition, abbreviated as Series B, has different contents than this Chinese edition, Series A.