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

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...

Full description

Bibliographic Details
Main Author: Fiorenza, Renato (Author)
Corporate Author: SpringerLink (Online service)
Format: Electronic eBook
Language:English
Published: Cham : Springer International Publishing : Imprint: Birkhäuser, 2016.
Series:Frontiers in Mathematics,
Subjects:
Online Access:Full Text via HEAL-Link
Description
Summary: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.
Physical Description:XI, 152 p. 2 illus. online resource.
ISBN:9783319479408
ISSN:1660-8046