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Hölder and locally Hölder Continuous Functions, and Open Sets of Class C^k, C^{k,lambda} / by Renato Fiorenza.
Springer Nature - Springer Mathematics and Statistics eBooks 2016 English International Available online
View online- Format:
- Book
- Author/Creator:
- Fiorenza, Renato., Author.
- Series:
- Frontiers in Mathematics, 1660-8046
- Language:
- English
- Subjects (All):
- Functions of real variables.
- Differential equations, Partial.
- Functional analysis.
- Real Functions.
- Partial Differential Equations.
- Functional Analysis.
- Local Subjects:
- Real Functions.
- Partial Differential Equations.
- Functional Analysis.
- Physical Description:
- 1 online resource (XI, 152 p. 2 illus.)
- Edition:
- 1st ed. 2016.
- Place of Publication:
- Cham : Springer International Publishing : Imprint: Birkhäuser, 2016.
- Summary:
- 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.
- Contents:
- 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.
- Notes:
- Includes bibliographical references and index.
- Description based on publisher supplied metadata and other sources.
- ISBN:
- 3-319-47940-7
- OCLC:
- 1066187386
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