A simple characterization of weighted Sobolev spaces with bounded multiplication operator
نویسندگان
چکیده
منابع مشابه
A simple characterization of weighted Sobolev spaces with bounded multiplication operator
In this paper we give a simple characterization of weighted Sobolev spaces (with piecewise monotonous weights) such that the multiplication operator is bounded: it is bounded if and only if the support of μ0 is large enough. We also prove some basic properties of the appropriate weighted Sobolev spaces. To have bounded multiplication operator has important consequences in Approximation Theory: ...
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ژورنال
عنوان ژورنال: Journal of Approximation Theory
سال: 2008
ISSN: 0021-9045
DOI: 10.1016/j.jat.2008.01.003