Overview
- 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
Part of the book series: Frontiers in Mathematics (FM)
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Table of contents (5 chapters)
Keywords
About this book
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.
Authors and Affiliations
About the author
Bibliographic Information
Book Title: Hölder and locally Hölder Continuous Functions, and Open Sets of Class C^k, C^{k,lambda}
Authors: Renato Fiorenza
Series Title: Frontiers in Mathematics
DOI: https://doi.org/10.1007/978-3-319-47940-8
Publisher: Birkhäuser Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer International Publishing AG 2016
Softcover ISBN: 978-3-319-47939-2Published: 20 January 2017
eBook ISBN: 978-3-319-47940-8Published: 13 January 2017
Series ISSN: 1660-8046
Series E-ISSN: 1660-8054
Edition Number: 1
Number of Pages: XI, 152
Number of Illustrations: 2 b/w illustrations
Topics: Real Functions, Partial Differential Equations, Functional Analysis