scientific article; zbMATH DE number 7478710

DOI10.4134/BKMS.b200764zbMath1487.32030MaRDI QIDQ5033250

Publication date: 22 February 2022

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

Bergman projection generalized Hartogs triangles $L^p$ Sobolev mapping property

Bergman spaces of functions in several complex variables (32A36) Integral representations; canonical kernels (Szeg?, Bergman, etc.) (32A25) Special domains (Reinhardt, Hartogs, circular, tube, etc.) in (mathbb{C}^n) and complex manifolds (32Q02)

Related Items

Bergman kernels of two dimensional monomial polyhedra

Cites Work

Unnamed Item
Bergman theory of certain generalized Hartogs triangles
The explicit forms and zeros of the Bergman kernel for 3-dimensional Hartogs triangles
Estimates for the Bergman and Szegő projections for pseudoconvex domains of finite type with locally diagonalizable Levi form
Sobolev estimates for the ${\bar \partial}$-Neumann operator on domains in ${\mathbb{C}}^ n$ admitting a defining function that is plurisubharmonic on the boundary
Estimates for the Bergman and Szegö kernels in ${\mathbb{C}}^ 2$
Boundary behavior of the Bergman kernel function in ${\mathbb{C}}^ 2$
Biholomorphic mappings and the $\overline\partial$-problem
Behavior of the Bergman projection on the Diederich-Fornæss worm
Estimates for the Bergman and Szegö projections on strongly pseudo-convex domains
A simplification and extension of Fefferman's theorem on biholomorphic mappings
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
Mapping properties of the Bergman projections on elementary Reinhardt domains
Special Toeplitz operators on a class of bounded Hartogs domains
The $L^{p}$ boundedness of the Bergman projection for a class of bounded Hartogs domains
Weighted Sobolev regularity of the Bergman projection on the Hartogs triangle
$L^p$ mapping properties of the Bergman projection on the Hartogs triangle
The Bergman projection on fat Hartogs triangles: $L^p$ boundedness
On estimates for weighted Bergman projections
$L^p$ boundedness of the Bergman projection on the generalized Hartogs triangles
L^p boundedness for the Bergman projections over n-dimensional generalized Hartogs triangles
Geometric Analysis of the Bergman Kernel and Metric