Hölder and locally Hölder Continuous Functions, and Open Sets of Class C^k, C^{k,lambda} [[electronic resource] /] / by Renato Fiorenza

• Autore: Fiorenza Renato
• Pubblicazione: Cham : , : Springer International Publishing : , : Imprint : Birkhäuser, , 2016
• Edizione: 1st ed. 2016.
• Descrizione fisica: 1 online resource (XI, 152 p. 2 illus.)
• Disciplina: 515.73
• Soggetto topico: Functions of real variables; Partial differential equations; Functional analysis; Real Functions; Partial Differential Equations; Functional Analysis
• Nota di bibliografia: Includes bibliographical references and index.
• Nota di contenuto: 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.
• Sommario/riassunto: 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.
• Titolo autorizzato: Hölder and locally Hölder Continuous Functions, and Open Sets of Class C^k, C^{k,lambda}
• ISBN: 3-319-47940-7
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Lingua di pubblicazione: Inglese
• Record Nr.: 9910254085303321
• Lo trovi qui: Univ. Federico II
• Serie: Frontiers in Mathematics, . 1660-8046