欧几里德空间中抛物球的Besicovitch覆盖定理

IF 0.5 4区数学 Q3 MATHEMATICS Hiroshima Mathematical Journal Pub Date : 2018-11-01 DOI:10.32917/HMJ/1544238028

Tsubasa Itoh

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引用次数: 5

摘要

摘要。众所周知，Besicovitch覆盖定理是许多分析领域的有用工具。Federer将Besicovitch的结果推广到了一个方向有限的度量空间。本文证明了欧氏空间中抛物球的Besicovitch覆盖定理，尽管抛物度量不受方向性限制。

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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The Besicovitch covering theorem for parabolic balls in Euclidean space

A bstract . The Besicovitch covering theorem is well known to be the useful tools in many ﬁelds of analysis. Federer extended the result of Besicovitch to a directionally limited metric space. In this paper, we prove the Besicovitch covering theorem for parabolic balls in Euclidean space, although the parabolic metric is not directionally limited.

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来源期刊

Hiroshima Mathematical Journal 数学-数学

CiteScore

0.60

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Hiroshima Mathematical Journal (HMJ) is a continuation of Journal of Science of the Hiroshima University, Series A, Vol. 1 - 24 (1930 - 1960), and Journal of Science of the Hiroshima University, Series A - I , Vol. 25 - 34 (1961 - 1970). Starting with Volume 4 (1974), each volume of HMJ consists of three numbers annually. This journal publishes original papers in pure and applied mathematics. HMJ is an (electronically) open access journal from Volume 36, Number 1.