| 書目名稱 | Lipschitz Functions | | 編輯 | ?tefan Cobza?,Radu Miculescu,Adriana Nicolae | | 視頻video | http://file.papertrans.cn/587/586927/586927.mp4 | | 概述 | Winner of the 2019 Prize DIMITRIE POMPEIU of the Romanian Academy.Full treatment of basic properties of Lipschitz functions with numerous examples.A thorough presentation of various extension results | | 叢書名稱 | Lecture Notes in Mathematics | | 圖書封面 |  | | 描述 | 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. | | 出版日期 | Book 2019 | | 關鍵詞 | Banach Spaces of Lipschitz Functions; Bishop-Phelps Property; Compact Operators; Composition Operators; | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-030-16489-8 | | isbn_softcover | 978-3-030-16488-1 | | isbn_ebook | 978-3-030-16489-8Series ISSN 0075-8434 Series E-ISSN 1617-9692 | | issn_series | 0075-8434 | | copyright | Springer Nature Switzerland AG 2019 |
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