Published March 2009 | Version v1
Journal article

Thickness and thinness of uniform Cantor sets for doubling measures

  • 1. Department of Mathematics, Hubei University, Wuhan 430062 (China)

Description

We prove that a uniform Cantor set E({nk}, {ck}) is thick for doubling measures if and only if {nkck} in lp for all p > 0. A dual characterization for thin uniform Cantor sets is also obtained

Availability note (English)

Available from http://dx.doi.org/10.1088/0951-7715/22/3/002

Additional details

Identifiers

DOI
10.1088/0951-7715/22/3/002;
PII
S0951-7715(09)96754-8;

Publishing Information

Journal Title
Nonlinearity (Print)
Journal Volume
22
Journal Issue
3
Journal Page Range
p. 545-551
ISSN
0951-7715

INIS

Country of Publication
United Kingdom
Country of Input or Organization
International Atomic Energy Agency (IAEA)
INIS RN
44095606
Subject category
S97: MATHEMATICAL METHODS AND COMPUTING;
Descriptors DEI
MEASURE THEORY; SET THEORY; TOPOLOGY
Descriptors DEC
MATHEMATICS