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

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

Autor Renato Fiorenza
en Limba Engleză Paperback – 20 ian 2017
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.
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Specificații

ISBN-13: 9783319479392
ISBN-10: 3319479393
Pagini: 152
Ilustrații: XI, 152 p. 2 illus.
Dimensiuni: 168 x 240 x 9 mm
Greutate: 0.27 kg
Ediția:1st ed. 2016
Editura: Springer International Publishing
Colecția Birkhäuser
Seria Frontiers in Mathematics

Locul publicării:Cham, Switzerland

Cuprins

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.

Notă biografică

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.

Textul de pe ultima copertă

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.

Caracteristici

Presents a popular topic in an original way Inspires new ideas in the whole range of applications in analysis Contains important notions of multidimensional geometry applied to Analysis, difficult to be found elsewhere in literature