Bergman projections on Besov spaces on balls
Kaptanoǧlu, H. T.
Illinois Journal of Mathematics
0019-2082 (print)1945-6581 (online)
Duke University Press
385 - 403
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Please cite this item using this persistent URLhttp://hdl.handle.net/11693/24044
Extended Bergman projections from Lebesgue classes onto all Besov spaces on the unit ball are defined and characterized. Right inverses and adjoints of the projections share the property that they are imbeddings of Besov spaces into Lebesgue classes via certain combinations of radial derivatives. Applications to the Gleason problem at arbitrary points in the ball, duality, and complex interpolation in Besov spaces are obtained. The results apply, in particular, to the Hardy space H2, the Arveson space, the Dirichlet space, and the Bloch space. © 2005 University of Illinois.