Maximal operators on hyperbolic triangles

IF 0.7 2区数学 Q2 MATHEMATICS

Collectanea Mathematica Pub Date : 2023-11-25 DOI:10.1007/s13348-023-00419-3

Romain Branchereau, Samuel Bronstein, Anthony Gauvan

引用次数: 0

Abstract

We characterize the boundedness properties on the spaces \(L^p( \mathbb {H}^2)\) of the maximal operator \(M_\mathcal {B}\) where \(\mathcal {B}\) is an arbitrary family of hyperbolic triangles stable by isometries.

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双曲三角形上的极大算子

我们刻画了极大算子\(M_\mathcal {B}\)在空间\(L^p( \mathbb {H}^2)\)上的有界性，其中\(\mathcal {B}\)是由等距稳定的任意双曲三角形族。

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

Collectanea Mathematica 数学-数学

CiteScore

2.70

自引率

9.10%

发文量

审稿时长

>12 weeks

期刊介绍： Collectanea Mathematica publishes original research peer reviewed papers of high quality in all fields of pure and applied mathematics. It is an international journal of the University of Barcelona and the oldest mathematical journal in Spain. It was founded in 1948 by José M. Orts. Previously self-published by the Institut de Matemàtica (IMUB) of the Universitat de Barcelona, as of 2011 it is published by Springer.