Projections onto $L^{p}$-Bergman spaces of Reinhardt domains

Summability and bases; functional analytic aspects of frames in Banach and Hilbert spaces (46B15) Bergman spaces of functions in several complex variables (32A36) Integral representations; canonical kernels (Szeg?, Bergman, etc.) (32A25) Functional analysis techniques applied to functions of several complex variables (32A70)

Cites Work

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Bergman theory of certain generalized Hartogs triangles
Duality of Bloch spaces and norm convergence of Taylor series
A survey of the $L^p$ regularity of the Bergman projection
Maximal averages over linear and monomial polyhedra
Irregularity of the Bergman projection on a smooth bounded domain in ${\mathbb{C}}^ 2$
Estimates for the Bergman and Szegö kernels in ${\mathbb{C}}^ 2$
Proper holomorphic mappings and the Bergman projection
Boundary behavior of holomorphic functions on pseudoconvex domains
Prolongement des fonctions holomorphes bornees et métrique de Caratheodory
Estimates for the Bergman and Szegö projections on strongly pseudo-convex domains
Mapping properties of the Bergman projection on convex domains of finite type
Estimates on the Bergman kernels of convex domains
Duality and approximation of Bergman spaces
Bergman subspaces and subkernels: degenerate $L^p$ mapping and zeroes
Sobolev mapping of some holomorphic projections
Bergman spaces under maps of monomial type
Mapping properties of the Bergman projections on elementary Reinhardt domains
Power series as Fourier series
The $L^{p}$ boundedness of the Bergman projection for a class of bounded Hartogs domains
First steps in several complex variables: Reinhardt domains
The extension of linear functionals
$L^p$ mapping properties of the Bergman projection on the Hartogs triangle
The Bergman projection on fat Hartogs triangles: $L^p$ boundedness
Mapping properties of weighted Bergman projection operators on Reinhardt domains
𝐿^{𝑝} regularity of weighted Bergman projections
The Bergman Kernel Function and Propert Holomorphic Mappings
Completeness, Reinhardt domains and the method of complex geodesics in the theory of invariant functions
Estimates for the Bergman and Szegö projections in two symmetric domains of $ℂ^{n}$
-regularity of the Bergman projection on quotient domains
Weak‐type estimates for the Bergman projection on the polydisc and the Hartogs triangle
L^p boundedness for the Bergman projections over n-dimensional generalized Hartogs triangles
On an observation of Sibony
Geometric Analysis of the Bergman Kernel and Metric
The Neumann Problem for the Cauchy-Riemann Complex. (AM-75)
Weak-type regularity of the Bergman projection on rational Hartogs triangles
Boundary regularity of proper holomorphic mappings
Boundary regularity of proper holomorphic mappings
Holomorphic function spaces on the Hartogs triangle

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Projections onto \(L^{p}\)-Bergman spaces of Reinhardt domains