Uniform continuity of nonautonomous superposition operators in ΛBV-spaces
AbstractIn this paper we investigate the problem of uniform continuity of nonautonomous superposition operators acting between spaces of functions of bounded Λ-variation. In particular, we give the sufficient conditions for nonautonomous superposition operators to continuously map a space of functions of bounded Λ-variation into itself. The conditions cover the generators being functions of C1-class (in view of two variables), but also allow for less regular functions, including discontinuous generators.
|Journal series||Forum Mathematicum, ISSN 0933-7741, e-ISSN 1435-5337, (N/A 100 pkt)|
|Publication size in sheets||0.65|
|Keywords in English||superposition operator, variation in the sense of Jordan, Waterman sequence, uniform continuity|
|Score||= 100.0, 28-01-2020, ArticleFromJournal|
|Publication indicators||: 2018 = 0.964; : 2018 = 0.867 (2) - 2018=0.743 (5)|
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