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