Lp boundedness for the Bergman projections over n-dimensional generalized Hartogs triangles

DOI10.1080/17476933.2020.1769085zbMath1478.32019OpenAlexW3028120038MaRDI QIDQ5158600

Shuo Zhang

Publication date: 25 October 2021

Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17476933.2020.1769085

zbMATH Keywords

\(L^p\) boundednessBergman projectiongeneralized Hartogs triangles

Mathematics Subject Classification ID

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

-regularity of the Bergman projection on quotient domains, Special Toeplitz operators on \(n\)-dimensional generalized Hartogs triangles, Sobolev mapping of the Bergman projections on generalized Hartogs triangles, Products of Toeplitz and Hankel operators on the Bergman spaces of generalized Hartogs triangles, Weak-type regularity of the Bergman projection on \(n\)-dimensional Hartogs triangles, Unnamed Item, Mapping properties of the Bergman projections on elementary Reinhardt domains, Carleson measures on the generalized Hartogs triangles

Cites Work

• 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
• New results on the Bergman kernel of the worm domain in complex space
• Boundary behavior of the Bergman kernel function in \({\mathbb{C}}^ 2\)
• 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
• Szegö and Bergman projections on non-smooth planar domains
• Bergman subspaces and subkernels: degenerate \(L^p\) mapping and zeroes
• The Bergman kernel and biholomorphic mappings of pseudoconvex domains
• \(L^p\) regularity of the Bergman projection on domains covered by the polydisc
• The \(L^{p}\) boundedness of the Bergman projection for a class of bounded Hartogs domains
• Bergman-Toeplitz operators on weakly pseudoconvex domains
• $L^p$ mapping properties of the Bergman projection on the Hartogs triangle
• The Bergman projection on fat Hartogs triangles: $L^p$ boundedness
• The Bergman kernel and projection on non-smooth worm domains
• Bergman–Toeplitz operators on fat Hartogs triangles
• $L^p$ boundedness of the Bergman projection on the generalized Hartogs triangles
• Spaces of Holomorphic Functions in the Unit Ball
• Geometric Analysis of the Bergman Kernel and Metric