Titlebook: H?lder and locally H?lder Continuous Functions, and Open Sets of Class C^k, C^{k,lambda}; Renato Fiorenza Textbook 2016 Springer Internati

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,H?lder and locally H?lder continuous functions. The linear spaces ,,ies of these functions (uniform continuity, boundedness, extendability), adding some observations (e.g., the non-existence, in general, of the maximum H?lder exponent) and the comparison with the notions of uniform continuity and absolute continuity; when necessary, we will give counterexamples. Amo

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Open sets with boundary of class , and of class ,. The cone property,operty that the boundary of is locally the graph of a function of class .. or of class .., respectively; then we will show, for . ≥ 1, that for every point .. ? ?Ω the coordinate system which appears in the defnition of these open sets, with origin in .., can be chosen in such a way that the hyperpl

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Textbook 2016ions 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 H?lder-continuous functions and their applications..

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1660-8046 multidimensional geometry applied to Analysis, difficult to .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-H?lder condition and introducing the notion of locally H?lder-continuous function in an

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