https://revistas.pucp.edu.pe/index.php/promathematica <p>e-ISSN:&nbsp;<strong>2305-2430&nbsp;</strong></p> <p>Founded in 1987, <strong>PRO MATHEMATICA</strong> is a regular journal published by the Department of Sciences, Mathematics Section, of Pontificia Universidad Católica del Perú, PUCP. This journal shelters research papers of high standards, both in content&nbsp;as in exposition, in Pure and Applied Mathematics and Statistics. A volume composed by two numbers&nbsp;is published yearly. All articles are peer refereed. <strong>PRO MATHEMATICA</strong> nowadays is indexed in the&nbsp;Latindex catalog. From 2014 on, the distribution would be exclusively byelectronic means.</p> Pontificia Universidad Católica del Perú es-ES Pro Mathematica 1012-3938 https://revistas.pucp.edu.pe/index.php/promathematica/article/view/30609 <p>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.</p> Rudy Rosas ##submission.copyrightStatement## http://creativecommons.org/licenses/by/4.0 2024-12-27 2024-12-27 33 65 7 31 10.18800/promathematica.202401.001