Hölder and locally Hölder Continuous Functions, and Open Sets of Class C^k, C^{k,lambda}

  • Renato Fiorenza

Part of the Frontiers in Mathematics book series (FM)

About this book


This book offers a systematic treatment of a classic topic in Analysis. It fills a gap in the existing literature by presenting in detail the classic λ-Hölder condition and introducing the notion of locally Hölder-continuous function in an open set Ω in Rn. Further, it provides the essential notions of multidimensional geometry applied to analysis.

Written in an accessible style and with proofs given as clearly as possible, it is a valuable resource for graduate students in Mathematical Analysis and researchers dealing with Hölder-continuous functions and their applications.


Hölder continuity Local Hölder continuity Lipschitz continuity The Cone property Multidimensional geometry Regularity of boundary of sets Classes of open sets Local coordinate systems

Authors and affiliations

  • Renato Fiorenza
    • 1
  1. 1.Dipartimento di ArchitetturaUniversità di Napoli "Federico II" Dipartimento di ArchitetturaNapoliItaly

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