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


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Hoelder and locally Hoelder Continuous Functions, and Open Sets of Class C^k, C^{k,lambda} by Renato Fiorenza
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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 -Hoelder condition and introducing the notion of locally Hoelder-continuous function in an open set 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 Hoelder-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 Hoelder 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 NZ
January 20th, 2017
1st ed. 2016
2 Illustrations, black and white; XI, 152 p. 2 illus.
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