Boundedness of some convolution-type operators on metric measure spaces

IF 0.6 3区数学 Q3 MATHEMATICS

Analysis Mathematica Pub Date : 2024-06-13 DOI:10.1007/s10476-024-00030-z

J. M. Aldaz

引用次数: 0

Abstract

We explore boundedness properties of some natural operators of convolution type in the context of metric measure spaces. Their study is suggested by certain transformations used in computer vision.

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公度量空间上某些卷积型算子的有界性

我们以公制度量空间为背景，探讨了一些自然卷积型算子的有界属性。对它们的研究是由计算机视觉中使用的某些变换提出的。

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

Analysis Mathematica MATHEMATICS-

CiteScore

1.00

自引率

14.30%

发文量

审稿时长

>12 weeks

期刊介绍： Traditionally the emphasis of Analysis Mathematica is classical analysis, including real functions (MSC 2010: 26xx), measure and integration (28xx), functions of a complex variable (30xx), special functions (33xx), sequences, series, summability (40xx), approximations and expansions (41xx). The scope also includes potential theory (31xx), several complex variables and analytic spaces (32xx), harmonic analysis on Euclidean spaces (42xx), abstract harmonic analysis (43xx). The journal willingly considers papers in difference and functional equations (39xx), functional analysis (46xx), operator theory (47xx), analysis on topological groups and metric spaces, matrix analysis, discrete versions of topics in analysis, convex and geometric analysis and the interplay between geometry and analysis.