On a boundary property of Blaschke products

IF 0.6 3区数学 Q3 MATHEMATICS

Analysis Mathematica Pub Date : 2023-03-31 DOI:10.1007/s10476-023-0212-8

A. A. Danielyan, S. Pasias

引用次数: 1

Abstract

A Blaschke product has no radial limits on a subset E of the unit circle T but has unrestricted limit at each point of T \ E if and only if E is a closed set of measure zero.

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关于Blaschke乘积的一个边界性质

Blaschke乘积在单位圆T的子集E上没有径向极限，但在T\E的每个点上都有不受限制的极限，当且仅当E是测度零的闭集。

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.