Bi-Hölder equivalence of real analytic functions

In this work, we show that Hölder equivalence of analytic functions germs ( R 2 , 0 ) → ( R , 0 ) admits continuous moduli.

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Bibliographic Details
Published in:Research in the mathematical sciences 2024-06, Vol.11 (2), Article 20
Main Authors: Fernandes, Alexandre, Fernandes, Filipe, Sampaio, José Edson, da Silva, Joserlan Perote
Format: Article
Language:English
Subjects:
Analytic functions
Applications of Mathematics
Computational Mathematics and Numerical Analysis
Equivalence
Mathematics
Mathematics and Statistics
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Description
Summary:In this work, we show that Hölder equivalence of analytic functions germs ( R 2 , 0 ) → ( R , 0 ) admits continuous moduli.
ISSN:2522-0144
2197-9847
DOI:10.1007/s40687-024-00429-y