Hölder and locally Hölder Continuous Functions, and Open Sets of Class C^k, C^{k,lambda}
| By: | Renato Fiorenza |
| Publisher: | Springer Nature |
| Print ISBN: | 9783319479392 |
| eText ISBN: | 9783319479408 |
| Edition: | 0 |
| Copyright: | 2016 |
| Format: | Page Fidelity |
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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.