Hölder and locally Hölder Continuous Functions, and Open Sets of Class C^k, C^{k,lambda}
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Beschreibung
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.
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.
Presents a popular topic in an original way Inspires new ideas in the whole range of applications in analysis Contains important notions of multidimensional geometry applied to Analysis, difficult to be found elsewhere in literature
Autor*in
Renato Fiorenza
Themen in »Hölder and locally Hölder Continuous Functions, and Open Sets of Class C^k, C^{k,lambda}«
Hölder continuity Local Hölder continuity Lipschitz continuity The Cone property Multidimensional geometry Regularity of boundary of sets Classes of open sets Local coordinate systems partial differential equations