Now showing items 1-5 of 5
Toeplitz operators on arveson and dirichlet spaces
(Birkhaeuser Science, 2007)
We define Toeplitz operators on all Dirichlet spaces on the unit ball of CN and develop their basic properties. We characterize bounded, compact, and Schatten-class Toeplitz operators with positive symbols in terms of ...
Carleson measures for Besov spaces on the ball with applications
(Academic Press, 2007)
Carleson and vanishing Carleson measures for Besov spaces on the unit ball of CN are characterized in terms of Berezin transforms and Bergman-metric balls. The measures are defined via natural imbeddings of Besov spaces ...
Analytic properties of Besov spaces via Bergman projections
(American Mathematical Society, 2008)
We consider two-parameter Besov spaces of holomorphic functions on the unit ball of CN: We obtain various exclusions between Besov spaces of di®erent parameters using gap series. We estimate the growth near the boundary ...
Aspects of multivariable operator theory on weighted symmetric Fock spaces
(World Scientific Publishing, 2014)
We obtain all Dirichlet spaces Fq, q ∈ ℝ, of holomorphic functions on the unit ball of ℂN as weighted symmetric Fock spaces over ℂN. We develop the basics of operator theory on these spaces related to shift operators. We ...
Precise inclusion relations among Bergman-Besov and Bloch-Lipschitz spaces and H∞ on the unit ball of CN
(Wiley-VCH Verlag, 2018)
We describe exactly and fully which of the spaces of holomorphic functions in the title are included in which others. We provide either new results or new proofs. More importantly, we construct explicit functions in each ...