与laguerre多项式展开相关的riesz变换和poisson半群的变分不等式

IF 2 2区数学 Q1 MATHEMATICS

Analysis and Applications Pub Date : 2021-10-07 DOI:10.1142/s0219530523500057

J. Betancor, M. D. Le'on-Contreras

引用次数: 5

摘要

本文建立了与Riesz变换相关的变分算子、振荡算子和跳跃算子以及与Laguerre多项式展开相关的Poisson半群的$L^p$有界性。

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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Variation inequalities for riesz transforms and poisson semigroups associated with laguerre polynomial expansions

In this paper we establish $L^p$-boundedness properties for variation, oscillation and jump operators associated with Riesz transforms and Poisson semigroups related to Laguerre polynomial expansions.

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来源期刊

Analysis and Applications 数学-数学

CiteScore

3.90

自引率

4.50%

发文量

审稿时长

>12 weeks

期刊介绍： Analysis and Applications publishes high quality mathematical papers that treat those parts of analysis which have direct or potential applications to the physical and biological sciences and engineering. Some of the topics from analysis include approximation theory, asymptotic analysis, calculus of variations, integral equations, integral transforms, ordinary and partial differential equations, delay differential equations, and perturbation methods. The primary aim of the journal is to encourage the development of new techniques and results in applied analysis.