Carleson measures on Dirichlet-type spaces

Gerardo Chacón

Type: Article

Publication Date: 2011-01-11

Citations: 20

DOI: https://doi.org/10.1090/s0002-9939-2011-10823-2

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.

Locations

Proceedings of the American Mathematical Society - View - PDF
CiteSeer X (The Pennsylvania State University) - View - PDF

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