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Lipschitz functions

Cobzas, Stefan.

Lipschitz functions

Record Type:	Electronic resources : Monograph/item
Title/Author:	Lipschitz functionsby Stefan Cobzas, Radu Miculescu, Adriana Nicolae.
Author:	Cobzas, Stefan.
other author:	Miculescu, Radu.
Published:	Cham :Springer International Publishing :2019.
Description:	xiv, 593 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
Subject:	Lipschitz spaces.
Online resource:	https://doi.org/10.1007/978-3-030-16489-8
ISBN:	9783030164898$q(electronic bk.)

Lipschitz functions
Cobzas, Stefan.

Lipschitz functions[electronic resource] /by Stefan Cobzas, Radu Miculescu, Adriana Nicolae. - Cham :Springer International Publishing :2019. - xiv, 593 p. :ill., digital ;24 cm. - Lecture notes in mathematics,22410075-8434 ;. - Lecture notes in mathematics ;2035..

The aim of this book is to present various facets of the theory and applications of Lipschitz functions, starting with classical and culminating with some recent results. Among the included topics we mention: characterizations of Lipschitz functions and relations with other classes of functions, extension results for Lipschitz functions and Lipschitz partitions of unity, Lipschitz free Banach spaces and their applications, compactness properties of Lipschitz operators, Bishop-Phelps type results for Lipschitz functionals, applications to best approximation in metric and in metric linear spaces, Kantorovich-Rubinstein norm and applications to duality in the optimal transport problem, Lipschitz mappings on geodesic spaces. The prerequisites are basic results in real analysis, functional analysis, measure theory (including vector measures) and topology, which, for reader's convenience, are surveyed in the first chapter of the book.

ISBN: 9783030164898$q(electronic bk.)

Standard No.: 10.1007/978-3-030-16489-8doiSubjects--Topical Terms:

558259
Lipschitz spaces.

LC Class. No.: QA323 / .C639 2019

Dewey Class. No.: 515.7

Lipschitz functions
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245 1 0 $a Lipschitz functions $h [electronic resource] / $c by Stefan Cobzas, Radu Miculescu, Adriana Nicolae.
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520 $a The aim of this book is to present various facets of the theory and applications of Lipschitz functions, starting with classical and culminating with some recent results. Among the included topics we mention: characterizations of Lipschitz functions and relations with other classes of functions, extension results for Lipschitz functions and Lipschitz partitions of unity, Lipschitz free Banach spaces and their applications, compactness properties of Lipschitz operators, Bishop-Phelps type results for Lipschitz functionals, applications to best approximation in metric and in metric linear spaces, Kantorovich-Rubinstein norm and applications to duality in the optimal transport problem, Lipschitz mappings on geodesic spaces. The prerequisites are basic results in real analysis, functional analysis, measure theory (including vector measures) and topology, which, for reader's convenience, are surveyed in the first chapter of the book.
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700 1 $a Miculescu, Radu. $3 841937
700 1 $a Nicolae, Adriana. $3 841938
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