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Author Cobzas Stefan, author
Title Lipschitz functions / Stefan Cobzas, Radu Miculescu, Adriana Nicolae
Imprint Cham, Switzerland : Springer, [2019]
book jacket
 Mathematics Library  QA323 C63 2019    AVAILABLE    30340200562977
Descript xiv, 591 pages ; 24 cm
Series Lecture notes in mathematics ; 2241
Lecture notes in mathematics (Springer-Verlag) ; 2241
Note Includes bibliographical references and index
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
Description based on online resource; title from digital title page (viewed on July 09, 2019)
Prerequisites. -- Basic Facts Concerning Lipschitz Functions. -- Relations with Other Classes of Functions. -- Extension Results for Lipschitz Mappings. -- Extension Results for Lipschitz Mappings in Geodesic Spaces. -- Approximations Involving Lipschitz Functions. -- Lipschitz Isomorphisms of Metric Spaces. -- Banach Spaces of Lipschitz Functions
Subject Lipschitz spaces
Lipschitz spaces. fast (OCoLC)fst00999438
Alt Author Miculescu, Radu, author
Nicolae, Adriana, author
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