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• W2975619651 abstract "The canonical generalizations of two classical norms on Besov spaces are shown to be equivalent even in the case of nonlinear Besov spaces, that is, function spaces consisting of functions taking values in a metric space and equipped with some Besov-type topology. The proofs are based on atomic decomposition techniques and metric embeddings. Additionally, we provide embedding results showing how nonlinear Besov spaces embed in nonlinear<inline-formula content-type=math/mathml><mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=p><mml:semantics><mml:mi>p</mml:mi><mml:annotation encoding=application/x-tex>p</mml:annotation></mml:semantics></mml:math></inline-formula>-variation spaces, and vice versa. We emphasize that we assume neither the unconditional martingale difference property of the involved spaces nor their separability." @default.
• W2975619651 created "2019-10-03" @default.
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• W2975619651 date "2019-10-01" @default.
• W2975619651 modified "2023-09-27" @default.
• W2975619651 title "Characterization of nonlinear Besov spaces" @default.
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• W2975619651 doi "https://doi.org/10.1090/tran/7968" @default.
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