Work

Multiply Hölder functions

Year: 2024

Type: article

Abstract: In this article we show several properties about multiply Hölder functions. We study the Hölder class of a composition of multiply Hölder functions and prove that a map and its inverse belong — under certain hypotheses — to the same Hölder class. We also prove some extension properties of multiply Hölder functions; for example, we show that a multiply Hölder functions always extends, in the same Hölder class, to “exceptional” sets that are codimension one manifolds.

Source: Pro mathematica.

DOI: 10.18800/promathematica.202401.001

Author: Rudy Rosas

Institution: Pontificia Universidad Católica del Perú

Language: English

Topic: Mathematical Dynamics and Fractals

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Funder: Pontificia Universidad Católica del Perú

OpenAlex ID: W4407958300

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