Carleson Measures and Multipliers for Dirichlet Spaces
نویسندگان
چکیده
منابع مشابه
Carleson Measures on Dirichlet-type Spaces
We show that a maximal inequality holds for the non-tangential maximal operator on Dirichlet spaces with harmonic weights on the open unit disc. We then investigate two notions of Carleson measures on these spaces and use the maximal inequality to give characterizations of the Carleson measures in terms of an associated capacity.
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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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ژورنال
عنوان ژورنال: Journal of Functional Analysis
سال: 1999
ISSN: 0022-1236
DOI: 10.1006/jfan.1999.3490