大型赫尔松套装

IF 0.6 4区数学 Q3 MATHEMATICS

Mathematical Notes Pub Date : 2024-07-15 DOI:10.1134/s0001434624050183

A. V. Ianina

引用次数: 0

摘要

摘要根据维克定理，圆上存在大质量的赫尔松集。特别是，它们的维数可以是 Hausdorff 维数一。我们将维克定理扩展到多维情况。

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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Massive Helson Sets

Abstract

According to the Wik theorem, there exist massive Helson sets on the circle. In particular, they can be of Hausdorff dimension one. We extend Wik’s result to the multidimensional case.

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来源期刊

Mathematical Notes 数学-数学

CiteScore

0.90

自引率

16.70%

发文量

179

审稿时长

24 months

期刊介绍： Mathematical Notes is a journal that publishes research papers and review articles in modern algebra, geometry and number theory, functional analysis, logic, set and measure theory, topology, probability and stochastics, differential and noncommutative geometry, operator and group theory, asymptotic and approximation methods, mathematical finance, linear and nonlinear equations, ergodic and spectral theory, operator algebras, and other related theoretical fields. It also presents rigorous results in mathematical physics.