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

• Main Author: Fiorenza, Renato (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Birkhäuser, 2016.
• Series: Frontiers in Mathematics,
• Subjects: Mathematics.; Functional analysis.; Partial differential equations.; Functions of real variables.; Real Functions.; Partial Differential Equations.; Functional Analysis.

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...

Table of 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.