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CARLESON MEASURES ON DIRICHLET-TYPE SPACES

By Gerardo R. Chac Ón and Communicated Richard Rochberg

Abstract

Abstract. 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. 1

Year: 2013
OAI identifier: oai:CiteSeerX.psu:10.1.1.353.1334
Provided by: CiteSeerX
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