Erschienen: 01.03.2019 Abbildung von Cobzas / Miculescu / Nicolae | Lipschitz Functions | 1st ed. 2019 | 2019 | 2241

Cobzas / Miculescu / Nicolae

Lipschitz Functions

1st ed. 2019 2019. Buch. xiv, 593 S. 2 s/w-Abbildungen, Bibliographien. Softcover

Springer. ISBN 978-3-030-16488-1

Format (B x L): 15,5 x 23,5 cm

Gewicht: 920 g

In englischer Sprache

Das Werk ist Teil der Reihe: Lecture Notes in Mathematics; 2241


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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