Now showing items 1-6 of 6
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 ...
Reproducing kernels of harmonic Besov spaces on the ball
Besov spaces of harmonic functions on the unit ball of Rn are defined by requiring sufficiently high-order derivatives of functions lie in harmonic Bergman spaces. We compute the reproducing kernels of those Besov spaces ...
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 ...
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 ...