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Hölder and Locally Hölder Continuous Functions, and Open Sets of Class Ck, Ck, Lambda
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This book is 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 O in Rn. Also, essential notions of multidimensional geometry applied to analysis are given. The text is written in an accessible style and proofs are given as clearly as possible.Graduate students in mathematical analysis and researchers dealing with Hölder continuous functions and their applications will find this book a valuable read.