Hölder and locally Hölder Continuous Functions, and Open Sets of Class C^k, C^{k,lambda} By Renato Fiorenza
2016 | 152 Pages | ISBN: 3319479393 | PDF | 2 MB
2016 | 152 Pages | ISBN: 3319479393 | PDF | 2 MB
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.