粗糙算子的一个新的点不等式及其应用

IF 1.2 3区数学 Q1 MATHEMATICS

Journal of Mathematical Analysis and Applications Pub Date : 2025-04-16 DOI:10.1016/j.jmaa.2025.129595

Diego Chamorro , Anca-Nicoleta Marcoci , Liviu-Gabriel Marcoci

引用次数: 0

摘要

本文研究了粗糙奇异积分算子的一种新的点估计。从这个逐点估计中，我们将得到各种泛函空间中的Sobolev型不等式。

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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A new pointwise inequality for rough operators and applications

We study in this article a new pointwise estimate for “rough” singular integral operators. From this pointwise estimate we will derive Sobolev type inequalities in a variety of functional spaces.

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来源期刊

Journal of Mathematical Analysis and Applications 数学-数学

CiteScore

2.50

自引率

7.70%

发文量

790

审稿时长

6 months

期刊介绍： The Journal of Mathematical Analysis and Applications presents papers that treat mathematical analysis and its numerous applications. The journal emphasizes articles devoted to the mathematical treatment of questions arising in physics, chemistry, biology, and engineering, particularly those that stress analytical aspects and novel problems and their solutions. Papers are sought which employ one or more of the following areas of classical analysis: • Analytic number theory • Functional analysis and operator theory • Real and harmonic analysis • Complex analysis • Numerical analysis • Applied mathematics • Partial differential equations • Dynamical systems • Control and Optimization • Probability • Mathematical biology • Combinatorics • Mathematical physics.