Tangential characterizations of BMOA on strictly pseudoconvex domains.
The Bergman projection in spaces of entire functions
We establish -estimates for the weighted Bergman projection on a nonsingular cone. We apply these results to the weighted Fock space with respect to the minimal norm in ℂⁿ.
The Cauchy transform of continuous linear functionals and projections on the weighted spaces of analytic functions.
The diagonal mapping in mixed norm spaces
For any holomorphic function F in the unit polydisc Uⁿ of ℂⁿ, we consider its restriction to the diagonal, i.e., the function in the unit disc U of ℂ defined by F(z) = F(z,...,z), and prove that the diagonal mapping maps the mixed norm space of the polydisc onto the mixed norm space of the unit disc for any 0 < p < ∞ and 0 < q ≤ ∞.
The numerical range of Toeplitz operator on the polydisk.
Toeplitz operators on -harmonic Hardy space with .
Toeplitz operators with BMO symbols and the Berezin transform.