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Published:	March 27, 2004
Keywords:	Dirichlet space, Carleson measure, discrete model
Subject:	Primary 47B22; Secondary 46E39

Abstract:

We investigate the function theory on function spaces on a dyadic tree which model Dirichlet spaces of holomorphic functions. Most of the specific questions addressed deal with Carleson measures on those spaces.

Acknowledgments: The first author was partially supported by the Italian M.U.R.S.T. The second author was supported in part by grants from the National Science Foundation Author information: Nicola Arcozzi: Department of Mathematics, University of Bologna, 540127 Bologna, Italy arcozzi@dm.unibo.it Richard Rochberg: Department of Mathematics, Washington University in St. Louis, St. Louis, MO 63130 USA rr@math.wustl.edu