Zygmund graphs are thin for doubling measures

被引：0
|
作者：
Dimarco, Claudio A. [1 ]
机构：
[1] Monroe Cty Community Coll, Math Dept, 1000 E Henrietta Rd, Rochester, NY 14623 USA
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2024年 / 532卷 / 01期
关键词：
Zygmund class; Doubling measure; Lipschitz class; Holder; SETS;
D O I：
10.1016/j.jmaa.2023.127954
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The Zygmund functions form an intermediate class between Lipschitz and Holder functions; their second order divided differences are uniformly bounded. It is well known that for d >= 1 the graph of any Lipschitz function f : Rd -> R is thin for doubling measures, and we extend this result to the Zygmund class.(c) 2023 Elsevier Inc. All rights reserved.
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页数：7
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