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

By:

Renato Fiorenza

Format:

Paperback / softback

Series:

Frontiers in Mathematics

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

$Hölder and locally Hölder Continuous Functions, and Open Sets of Class C^k, C^{k,lambda} by Renato Fiorenza$ Show Hide Adult Content

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Description

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.

Author Biography:

Renato Fiorenza has been a professor in mathematical analysis at the University of Naples (Italy) "Federico II" since 1967. He became a professor when Italy was leading the field with Miranda, Caccioppoli, De Giorgi (who solved Hilbert's 19th problem, proving that for a class of elliptic partial differential equations with analytic coefficients the solutions had first derivatives which are Hölder continuous). Renato Fiorenza was an assistant of Caccioppoli. In his career he has established some important results about oblique derivative problems for partial differential equations.

Release date Australia

January 20th, 2017

Author

Renato Fiorenza

Series

Frontiers in Mathematics

Pages

152

Edition

1st ed. 2016

Audience

Professional & Vocational

Illustrations

2 Illustrations, black and white; XI, 152 p. 2 illus.

Dimensions

168x240x9

ISBN-13

9783319479392

Product ID

26089708

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