|
|
|
|
|
|
|
|
1. |
Record Nr. |
UNINA9910254085303321 |
|
|
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 |
|
|
|
|
|
|
|
Pubbl/distr/stampa |
|
|
Cham : , : Springer International Publishing : , : Imprint : Birkhäuser, , 2016 |
|
|
|
|
|
|
|
|
|
ISBN |
|
|
|
|
|
|
Edizione |
[1st ed. 2016.] |
|
|
|
|
|
Descrizione fisica |
|
1 online resource (XI, 152 p. 2 illus.) |
|
|
|
|
|
|
Collana |
|
Frontiers in Mathematics, , 1660-8046 |
|
|
|
|
|
|
Disciplina |
|
|
|
|
|
|
Soggetti |
|
Functions of real variables |
Partial differential equations |
Functional analysis |
Real Functions |
Partial Differential Equations |
Functional Analysis |
|
|
|
|
|
|
|
|
Lingua di pubblicazione |
|
|
|
|
|
|
Formato |
Materiale a stampa |
|
|
|
|
|
Livello bibliografico |
Monografia |
|
|
|
|
|
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. |
|
|
|
|
|
|
|