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H1-BMO duality associated with semigroup of operators on general measure space
by
Tao Mei
University of Illinois at Urbana-Champaign
We study H1 and BMO spaces on general measure spaces and get an analogue of Fefferman's duality theory. Our H1 space is defined by the analogue of the classical Lusin area integral. A main challenge in our study is to find alternates of classical proofs involving geometric structure of Euclidean spaces.
Date received: January 19, 2008
Copyright © 2008 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cavq-17.