New results on the Bergman kernel of the worm domain in complex space

zbMath1140.32310MaRDI QIDQ928645

Marco M. Peloso, Steven G. Krantz

Publication date: 11 June 2008

Published in: Electronic Research Announcements in Mathematical Sciences (Search for Journal in Brave)

Mathematics Subject Classification ID

Integral representations; canonical kernels (Szeg?, Bergman, etc.) (32A25) Worm domains (32T20)

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On Hardy spaces on worm domains ⋮ The \(L^{p}\) boundedness of the Bergman projection for a class of bounded Hartogs domains ⋮ Holomorphic function spaces on the Hartogs triangle ⋮ Weak-type regularity of the Bergman projection on \(n\)-dimensional Hartogs triangles ⋮ Hardy spaces and the Szegő projection of the non-smooth worm domain \(D_\beta^\prime\) ⋮ L^p boundedness for the Bergman projections over n-dimensional generalized Hartogs triangles ⋮ Mapping properties of weighted Bergman projection operators on Reinhardt domains ⋮ 𝐿^{𝑝} regularity of weighted Bergman projections