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

• Κύριος συγγραφέας: Fiorenza, Renato (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Cham : Springer International Publishing : Imprint: Birkhäuser, 2016.
• Σειρά: Frontiers in Mathematics,
• Θέματα: Mathematics.; Functional analysis.; Partial differential equations.; Functions of real variables.; Real Functions.; Partial Differential Equations.; Functional Analysis.
• Φυσική περιγραφή: XI, 152 p. 2 illus. online resource.
• ISBN: 9783319479408
• ISSN: 1660-8046

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.