\(L^p\) regularity of Szegő projections on quotient domains

zbMath1522.32016MaRDI QIDQ6179153

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Publication date: 5 September 2023

Published in: The New York Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: http://nyjm.albany.edu/j/2023/29-35.html

zbMATH Keywords

Hardy spaceSzegő projection\(L^p\) regularityquotient domains

Mathematics Subject Classification ID

(H^p)-spaces (42B30) (H^p)-spaces, Nevanlinna spaces of functions in several complex variables (32A35) Integral representations; canonical kernels (Szeg?, Bergman, etc.) (32A25)

Cites Work

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• The Cauchy-Szegő projection for domains in \(\mathbb{C}^n\) with minimal smoothness
• Groups and symmetries. From finite groups to Lie groups. Transl. from the French by Stephanie Frank Singer.
• The Cauchy kernel, the Szegö kernel, and the Riemann mapping function
• Relative invariants of finite groups generated by pseudoreflections
• Estimates for the Bergman and Szegö projections on strongly pseudo-convex domains
• The Szegö projection on convex domains
• Sharp estimates for the Szegő projection on the distinguished boundary of model worm domains
• Geometry of the symmetrized polydisc
• Decomposition theorems for Hardy spaces on convex domains of finite type
• Reducing submodules of Hilbert modules and Chevalley-Shephard-Todd theorem
• \(L^p\) regularity of the Bergman projection on domains covered by the polydisc
• Weighted \(L^p\) estimates for the Bergman and Szegő projections on strongly pseudoconvex domains with near minimal smoothness
• \(L^p\) regularity of weighted Szegő projections on the unit disc
• Proper holomorphic mappings, Bell's formula, and the Lu Qi-Keng problem on the tetrablock
• Reproducing kernel for a class of weighted Bergman spaces on the symmetrized polydisc
• Proper holomorphic mappings vs. peak points and Shilov boundary
• Invariants of Finite Reflection Groups
• Weighted norm inequalities for maximal functions and singular integrals
• Estimates for the Bergman and Szegö projections in two symmetric domains of $ℂ^{n}$
• Weighted endpoint bounds for the Bergman and Cauchy-Szego projections on domains with near minimal smoothness
• REGULARITY OF THE SZEGÖ PROJECTION ON THE SYMMETRISED POLYDISC
• -regularity of the Bergman projection on quotient domains
• Weighted Norm Inequalities for the Hardy Maximal Function
• Finite Unitary Reflection Groups
• Holomorphic function spaces on the Hartogs triangle