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Carleson Measures via BMO
Authors:Boo Rim Choe  Hyungwoon Koo  Michael Stessin
Institution:(1) Department of Mathematics, Korea University, Seoul, 136-713, Korea;(2) Department of Mathematics, SUNY, 1400 Washington Avenue, Albany, NY 12222, USA
Abstract:We obtain new characterizations of Carleson measures via uniform boundedness of BMO norms of certain mass functions associated with the given measure in a natural way. This research was performed during M. Stessin’s visit to Korea University. He thanks the Mathematics Department of Korea University and the “Brain Pool” program for their hospitality and support. The first two authors were supported by the Korea Research Foundation Grant funded by the Korean Government (KRF-2008-314-C00012).
Keywords:Mathematics Subject Classification (2000)" target="_blank">Mathematics Subject Classification (2000)    Primary 30D55  Secondary 30D50
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