Please use this identifier to cite or link to this item: http://repositorio.unicamp.br/jspui/handle/REPOSIP/56956
Type: Artigo de periódico
Title: Continuous families of Holder functions that are not of bounded variation
Author: Torriani, HH
Abstract: This paper deals with three classes of functions of great importance in analysis and its applications. We construct a family of Holder functions in the closed unit interval having two continuous parameters. Those functions are not of bounded variation for any pair of values of the Holder constant and exponent. The construction depends on a change of variables given by a Lipschitz function with constant equal to 1. Several questions related to the concepts of genericity, surjectivity and deformability are posed at, the end.
Subject: Holder functions
Lipschitz functions
functions of bounded variation
implications
non-implications
Country: Hungria
Editor: Akademiai Kiado
Rights: fechado
Identifier DOI: 10.1023/B:AMHU.0000034363.34646.f2
Date Issue: 2004
Appears in Collections:Artigos e Materiais de Revistas Científicas - Unicamp

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