Functional Calculus in Hölder-Zygmund Spaces
نویسندگان
چکیده
منابع مشابه
Functional Calculus in Hölder-zygmund Spaces
In this paper we characterize those functions f of the real line to itself such that the nonlinear superposition operator Tf defined by Tf [g] := f◦g maps the Hölder-Zygmund space Cs(Rn) to itself, is continuous, and is r times continuously differentiable. Our characterizations cover all cases in which s is real and s > 0, and seem to be novel when s > 0 is an integer.
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ژورنال
عنوان ژورنال: Transactions of the American Mathematical Society
سال: 2002
ISSN: 0002-9947,1088-6850
DOI: 10.1090/s0002-9947-02-03000-3