Vanishing logarithmic Carleson measures
نویسندگان
چکیده
منابع مشابه
Carleson and Vanishing Carleson Measures on Radial Trees
We extend a discrete version of an extension of Carleson’s theorem proved in [5] to a large class of trees T that have certain radial properties. We introduce the geometric notion of s-vanishing Carleson measure on such a tree T (with s ≥ 1) and give several characterizations of such measures. Given a measure σ on T and p ≥ 1, let Lp(σ) denote the space of functions g defined on T such that |g|...
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We give a necessary and sufficient condition for a measure μ in the closed unit disk to be a reverse Carleson measure for Hardy spaces. This extends a previous result of Lefèvre, Li, Queffélec and Rodrı́guez-Piazza [LLQR]. We also provide a simple example showing that the analogue for the Paley-Wiener space does not hold. As it turns out the analogue never holds in any model space.
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We consider the Fock-Sobolev space F p,m consisting of entire functions f such that f , the m-th order derivative of f , is in the Fock space F . We show that an entire function f is in F p,m if and only if the function zf(z) is in F . We also characterize the Carleson measures for the spaces F , establish the boundedness of the weighted Fock projection on appropriate L spaces, identify the Ban...
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ژورنال
عنوان ژورنال: Illinois Journal of Mathematics
سال: 2002
ISSN: 0019-2082
DOI: 10.1215/ijm/1258136207