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Isometries of Lipschitz type function spaces
Author(s) -
RanjbarMotlagh Alireza
Publication year - 2018
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.201700055
Subject(s) - lipschitz continuity , mathematics , pointwise , function space , lipschitz domain , pure mathematics , type (biology) , metric map , space (punctuation) , mathematical analysis , metric space , convex metric space , computer science , ecology , biology , operating system
In this article, we describe isometries over the Lipschitz spaces under certain conditions. Indeed, we provide a unified proof for the main results of [3][J. Araujo, 2011] and [5][F. Botelho, 2011] in a more general setting. Finally, we extend our results for some other functions spaces like the space of vector‐valued little Lipschitz maps and pointwise Lipschitz maps.