
Hölder and locally Hölder Continuous Functions, and Open Sets of Class C^k, C^{k,lambda}
Renato Fiorenza(Author)
Birkhäuser (Publisher)
1st Edition
Published on 20. January 2017
Book
Paperback/Softback
XI, 152 pages
978-3-319-47939-2 (ISBN)
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 ?-Hölder condition and introducing the notion of locally Hölder-continuous function in an open set O in R n. 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.
More details
Product info
Paperback
Series
Edition
1st ed. 2016
Language
English
Place of publication
Cham
Switzerland
Publishing group
Springer International Publishing
Target group
Professional and scholarly
Illustrations
2
2 s/w Abbildungen
XI, 152 p. 2 illus.
Dimensions
Height: 240 mm
Width: 168 mm
Thickness: 10 mm
Weight
287 gr
ISBN-13
978-3-319-47939-2 (9783319479392)
DOI
10.1007/978-3-319-47940-8
Schweitzer Classification
Other editions
Additional editions

Renato Fiorenza
Hölder and locally Hölder Continuous Functions, and Open Sets of Class C^k, C^{k,lambda}
E-Book
01/2017
Birkhäuser
€60.98
Available for download
Person
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.
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.
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.
Content
Hoelder and locally Hoelder continuous functions.- Coordinate changes in Rn. Rotations. Cones in Rn.- Open sets with boundary of class Ck and of classCk. The cone property.- Open sets of class Ck and of class Ck.- Majorization formulas for functions.