Happy Holidays! Over 120,000 eBooks at just 19.99 each— Pick a favorite today

Frontiers in Mathematics

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

Authors: Fiorenza, Renato

  • 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 
see more benefits

Buy this book

eBook $54.99
price for USA (gross)
  • ISBN 978-3-319-47940-8
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $69.99
price for USA
  • ISBN 978-3-319-47939-2
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
About this Textbook

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.

About the authors

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.

Table of contents (5 chapters)

  • Hölder and locally Hölder continuous functions. The linear spaces $$C^{k}(\Omega), C^{k,\lambda}(\Omega),\; \mathrm{and}\;C^{k,\lambda}_{\mathrm {loc}}(\Omega)$$

    Fiorenza, Renato

    Pages 1-35

  • Coordinate changes in $$\mathbb{R}^n$$ . Rotations. Cones in $$\mathbb{R}^n$$

    Fiorenza, Renato

    Pages 37-75

  • Open sets with boundary of class $$C^{k}$$ and of class $$C^{k, \lambda}$$ . The cone property

    Fiorenza, Renato

    Pages 77-96

  • Open sets of class $$C^{k}$$ and of class $$C^{k,\lambda}$$

    Fiorenza, Renato

    Pages 97-123

  • Majorization formulas for functions in $$C^{m,\lambda}_{\mathrm {loc}}(\Omega), C^{m,\lambda}(\Omega),\; \mathrm{and}\;C^{m}(\Omega)$$

    Fiorenza, Renato

    Pages 125-144

Buy this book

eBook $54.99
price for USA (gross)
  • ISBN 978-3-319-47940-8
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $69.99
price for USA
  • ISBN 978-3-319-47939-2
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Loading...

Recommended for you

Loading...

Bibliographic Information

Bibliographic Information
Book Title
Hölder and locally Hölder Continuous Functions, and Open Sets of Class C^k, C^{k,lambda}
Authors
Series Title
Frontiers in Mathematics
Copyright
2016
Publisher
Birkhäuser Basel
Copyright Holder
Springer International Publishing AG
eBook ISBN
978-3-319-47940-8
DOI
10.1007/978-3-319-47940-8
Softcover ISBN
978-3-319-47939-2
Series ISSN
1660-8046
Edition Number
1
Number of Pages
XI, 152
Number of Illustrations and Tables
2 b/w illustrations
Topics