Boundedness of Bergman projectors on homogeneous Siegel domains

Determinant Type Differential Operators on Homogeneous Siegel Domains

In harmonic analysis on classical domains of matrices, the differential operator whose symbol is the determinant polynomial plays important roles. Particularly, the operator is substantial in study of invariant Hilbert spaces of holomorphic functions on the domain [1, 2, 7, 14, 15, 21]. Considering the Siegel domain realization of a certain symmetric domain with Fourier-analytic methods, Jakobs...

Boundedness of the Bergman Type Operators on Mixed Norm Spaces

Conditions sufficient for boundedness of the Bergman type operators on certain mixed norm spaces Lp,q(φ) (0 < p < 1, 1 < q <∞) of functions on the unit ball of Cn are given, and this is used to solve Gleason’s problem for the mixed norm spaces Hp,q(φ) (0 < p < 1, 1 < q <∞).

$L^p$ boundedness of the Bergman projection on some generalized Hartogs triangles

‎In this paper we investigate a two classes of domains in $mathbb{C}^n$ generalizing the Hartogs triangle‎. ‎We prove optimal estimates for the mapping properties of the Bergman projection on these domains.

The Bergman Projection on Sectorial Domains

Boundedness of Sublinear Operators on the Homogeneous Herz Spaces