Hölder and locally Hölder Continuous Functions, and Open Sets of Class C^k, C^{k,lambda}
Title:
Hölder and locally Hölder Continuous Functions, and Open Sets of Class C^k, C^{k,lambda}
ISBN:
9783319479408
Personal Author:
Edition:
1st ed. 2016.
Publication Information New:
Cham : Springer International Publishing : Imprint: Birkhäuser, 2016.
Physical Description:
XI, 152 p. 2 illus. online resource.
Series:
Frontiers in Mathematics,
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.
Abstract:
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.
Added Corporate Author:
Language:
English