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

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...

Πλήρης περιγραφή

Λεπτομέρειες βιβλιογραφικής εγγραφής
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:
Διαθέσιμο Online:Full Text via HEAL-Link
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245 1 0 |a Hölder and locally Hölder Continuous Functions, and Open Sets of Class C^k, C^{k,lambda}  |h [electronic resource] /  |c by Renato Fiorenza. 
264 1 |a Cham :  |b Springer International Publishing :  |b Imprint: Birkhäuser,  |c 2016. 
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505 0 |a 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. 
520 |a 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. 
650 0 |a Mathematics. 
650 0 |a Functional analysis. 
650 0 |a Partial differential equations. 
650 0 |a Functions of real variables. 
650 1 4 |a Mathematics. 
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650 2 4 |a Partial Differential Equations. 
650 2 4 |a Functional Analysis. 
710 2 |a SpringerLink (Online service) 
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776 0 8 |i Printed edition:  |z 9783319479392 
830 0 |a Frontiers in Mathematics,  |x 1660-8046 
856 4 0 |u http://dx.doi.org/10.1007/978-3-319-47940-8  |z Full Text via HEAL-Link 
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950 |a Mathematics and Statistics (Springer-11649)