d维傅里叶级数和勒贝格点的无限制可和性

IF 1.1 Q1 MATHEMATICS

Constructive Mathematical Analysis Pub Date : 2021-02-01 DOI:10.33205/CMA.859583

F. Weisz

引用次数: 4

摘要

我们将经典勒贝格定理推广到多维函数中。证明了多维函数$f\in L_1(\log L)^{d-1}(\mathbb{T}^d)\supset L_p(\mathbb{T}^d) (1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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Unrestricted Ces\`aro summability of $d$-dimensional Fourier series and Lebesgue points

We generalize the classical Lebesgue's theorem to multi-dimensional functions. We prove that the Cesaro means of the Fourier series of the multi-dimensional function $f\in L_1(\log L)^{d-1}(\mathbb{T}^d)\supset L_p(\mathbb{T}^d) (1

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来源期刊

Constructive Mathematical Analysis Mathematics-Analysis

CiteScore

2.40

自引率

0.00%

发文量

审稿时长

6 weeks