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＜電子ブック＞
Hölder and locally Hölder Continuous Functions, and Open Sets of Class C^k, C^{k,lambda} / by Renato Fiorenza
(Frontiers in Mathematics. ISSN:16608054)

版	1st ed. 2016.
出版者	(Cham : Springer International Publishing : Imprint: Birkhäuser)
出版年	2016
大きさ	XI, 152 p. 2 illus : online resource
著者標目	*Fiorenza, Renato author SpringerLink (Online service)
件　名	LCSH:Functions of real variables LCSH:Differential equations LCSH:Functional analysis FREE:Real Functions FREE:Differential Equations FREE:Functional Analysis
一般注記	Hölder and locally Hölder continuous functions -- Coordinate changes in Rn. Rotations. Cones in Rn -- Open sets with boundary of class Ck and of class Ck. The cone property -- Open sets of class Ck and of class Ck -- Majorization formulas for functions 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 HTTP:URL=https://doi.org/10.1007/978-3-319-47940-8

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