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Hölder and locally Hölder Continuous Functions, and Open Sets of Class C^k, C^{k,lambda}

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Hölder and locally Hölder Continuous Functions, and Open Sets of Class C^k, C^{k,lambda}/ by Renato Fiorenza.
作者:	Fiorenza, Renato.
面頁冊數:	XI, 152 p. 2 illus.online resource. :
Contained By:	Springer Nature eBook
標題:	Functions of real variables. -
電子資源:	https://doi.org/10.1007/978-3-319-47940-8
ISBN:	9783319479408

Hölder and locally Hölder Continuous Functions, and Open Sets of Class C^k, C^{k,lambda}
Fiorenza, Renato.

Hölder and locally Hölder Continuous Functions, and Open Sets of Class C^k, C^{k,lambda}[electronic resource] /by Renato Fiorenza. - 1st ed. 2016. - XI, 152 p. 2 illus.online resource. - Frontiers in Mathematics,1660-8046. - Frontiers in Mathematics,.

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.

ISBN: 9783319479408

Standard No.: 10.1007/978-3-319-47940-8doiSubjects--Topical Terms:

792248
Functions of real variables.

LC Class. No.: QA331.5

Dewey Class. No.: 515.8

Hölder and locally Hölder Continuous Functions, and Open Sets of Class C^k, C^{k,lambda}
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