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

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

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

von

Fiorenza, Renato

BuchKartoniert, Paperback

CHF80.00

Beschreibung

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 Î»-Hölder condition and introducing the notion of locally Hölder-continuous function in an open set Î© 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.

Weitere Beschreibungen

Details

ISBN/GTIN978-3-319-47939-2

ProduktartBuch

EinbandKartoniert, Paperback

Verlag

Springer International Publishing

Erscheinungsdatum20.01.2017

Auflage1st ed. 2016

ReiheFrontiers in Mathematics

Seiten164 Seiten

SpracheEnglisch

MasseBreite 168 mm, Höhe 240 mm, Dicke 10 mm

Gewicht287 g

Artikel-Nr.1360760

Verlagsartikel-Nr.978-3-319-47939-2

KatalogBuchzentrum

Datenquelle-Nr.20751032

Weitere Details

Reihe

Rings, Modules, and the Total

Symmetry in Finite Generalized Quadrangles

Generalized Analytic Automorphic Forms in Hypercomplex Spaces

Invariant Probabilities of Markov-Feller Operators and Their Supports

Transport Equations in Biology

Geometric Qp Functions

q-Clan Geometries in Characteristic 2

The Mathematics of Minkowski Space-Time

Approximation of Additive Convolution-Like Operators

Applied Pseudoanalytic Function Theory

Schwarz-Pick Type Inequalities

Flag-transitive Steiner Designs

The Geometry of Filtering

Differential Geometry of Lightlike Submanifolds

Frames and Locales

Exponentially Convergent Algorithms for Abstract Differential Equations

Algebraic Approximation: A Guide to Past and Current Solutions

Poncelet Porisms and Beyond

Functional Analysis in Asymmetric Normed Spaces

Global Well-posedness of Nonlinear Parabolic-Hyperbolic Coupled Systems

Stability of Vector Differential Delay Equations

Developments of Harmonic Maps, Wave Maps and Yang-Mills Fields into Biharmonic Maps, Biwave Maps and Bi-Yang-Mills Fields

Global Existence and Uniqueness of Nonlinear Evolutionary Fluid Equations

Bicomplex Holomorphic Functions

An Introduction to Incidence Geometry

Module Theory, Extending Modules and Generalizations

Numerical Methods for Eulerian and Lagrangian Conservation Laws

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

Newton¿s Method: an Updated Approach of Kantorovich¿s Theory

Introduction to Complex Theory of Differential Equations

Variational Source Conditions, Quadratic Inverse Problems, Sparsity Promoting Regularization

Positive Solutions to Indefinite Problems

Nonlocal Perimeter, Curvature and Minimal Surfaces for Measurable Sets

Quaternionic Approximation

Mild Differentiability Conditions for Newton's Method in Banach Spaces

A Primer for a Secret Shortcut to PDEs of Mathematical Physics

Special Functions and Generalized Sturm-Liouville Problems

Topics in Uniform Approximation of Continuous Functions

Direct and Inverse Sturm-Liouville Problems

Geometric Analysis of Quasilinear Inequalities on Complete Manifolds

Autor

Fiorenza, Renato

Renato Fiorenza has been a professor in mathematical analysis at the University of Naples (Italy) "Federico II" since 1967. He became a professor when Italy was leading the field with Miranda, Caccioppoli, De Giorgi (who solved Hilbert's 19th problem, proving that for a class of elliptic partial differential equations with analytic coefficients the solutions had first derivatives which are Hölder continuous). Renato Fiorenza was an assistant of Caccioppoli. In his career he has established some important results about oblique derivative problems for partial differential equations.