Bergman projections on Besov spaces on balls

Date

2005-06-01

Author

Kaptanoglu, HT

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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 H-2, the Arveson space, the Dirichlet space, and the Bloch space.

Subject Keywords

General Mathematics

URI

https://hdl.handle.net/11511/63575

Journal

ILLINOIS JOURNAL OF MATHEMATICS

DOI

https://doi.org/10.1215/ijm/1258138024

Collections

Department of Mathematics, Article

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Citation Formats

H. Kaptanoglu, “Bergman projections on Besov spaces on balls,” ILLINOIS JOURNAL OF MATHEMATICS, pp. 385–403, 2005, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/63575.