Bergman projections on Besov spaces on balls

Date

2005-06-01

Author

Kaptanoglu, HT

Metadata

Show full item record

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Item Usage Stats

181
views

0
downloads

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

Suggestions

OpenMETU
Core

Besov spaces and Bergman projections on the ball Kaptanoglu, HT (Elsevier BV, 2002-11-01) A class of radial differential operators are investigated yielding a natural classification of diagonal Besov spaces on the unit ball of C-N. Precise conditions are given for the boundedness of Bergman projections from certain L-P spaces onto Besov spaces. Right inverses for these projections are also provided. Applications to complex interpolation are presented.
NONCOMMUTATIVE MACKEY THEOREM Dosi, Anar (World Scientific Pub Co Pte Lt, 2011-04-01) In this note we investigate quantizations of the weak topology associated with a pair of dual linear spaces. We prove that the weak topology admits only one quantization called the weak quantum topology, and that weakly matrix bounded sets are precisely the min-bounded sets with respect to any polynormed topology compatible with the given duality. The technique of this paper allows us to obtain an operator space proof of the noncommutative bipolar theorem.
On symplectic quotients of K3 surfaces Cinkir, Z; Onsiper, H (Elsevier BV, 2000-12-18) In this note, we construct generalized Shioda-Inose structures on K3 surfaces using cyclic covers and almost functoriality of Shioda-Inose structures with respect to normal subgroups of a given group of symplectic automorphisms.
On equivariant Serre problem for principal bundles Biswas, Indranil; Dey, Arijit; Poddar, Mainak (World Scientific Pub Co Pte Lt, 2018-08-01) Let E-G be a Gamma-equivariant algebraic principal G-bundle over a normal complex affine variety X equipped with an action of Gamma, where G and Gamma are complex linear algebraic groups. Suppose X is contractible as a topological Gamma-space with a dense orbit, and x(0) is an element of X is a Gamma-fixed point. We show that if Gamma is reductive, then E-G admits a Gamma-equivariant isomorphism with the product principal G-bundle X x rho E-G(x(0)), where rho : Gamma -> G is a homomorphism between algebraic...
Chirality of real non-singular cubic fourfolds and their pure deformation classification Finashin, Sergey (Springer Science and Business Media LLC, 2020-02-22) In our previous works we have classified real non-singular cubic hypersurfaces in the 5-dimensional projective space up to equivalence that includes both real projective transformations and continuous variations of coefficients preserving the hypersurface non-singular. Here, we perform a finer classification giving a full answer to the chirality problem: which of real non-singular cubic hypersurfaces can not be continuously deformed to their mirror reflection.

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.