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 ?-Hölder condition and introducing the notion of locally Hölder-continuous function in an open set ? 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.

Publication Year: 2016
Imprint: Springer International Publishing
Format: P
Weight (Gram): 353