Multiply Hölder functions
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Pontificia Universidad Católica del Perú
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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.
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Lipschitz (Hölder) classes, Special properties of functions of several variables, Hölder conditions
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Except where otherwised noted, this item's license is described as info:eu-repo/semantics/openAccess