Sobolev mapping of some holomorphic projections

DOI10.1007/s12220-019-00345-6zbMath1446.32005arXiv1904.04383OpenAlexW3100468855WikidataQ126402290 ScholiaQ126402290MaRDI QIDQ1985311

Jeffery D. Mcneal, Luke D. Edholm

Publication date: 7 April 2020

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1904.04383

zbMATH Keywords

Sobolev spacesBergman projectionHartogs triangles

Mathematics Subject Classification ID

(overlinepartial) and (overlinepartial)-Neumann operators (32W05) Bergman spaces of functions in several complex variables (32A36) Integral representations; canonical kernels (Szeg?, Bergman, etc.) (32A25)

Related Items

Remarks on regular quantization and holomorphic isometric immersions on Hartogs triangles ⋮ -regularity of the Bergman projection on quotient domains ⋮ Holomorphic function spaces on the Hartogs triangle ⋮ Sobolev regularity of the canonical solutions to \(\bar{\partial}\) on product domains ⋮ Sobolev mapping of the Bergman projections on generalized Hartogs triangles ⋮ Bergman projection on the symmetrized bidisk ⋮ On the canonical solution of \(\overline{\partial}\) on polydisks ⋮ Unnamed Item ⋮ Harmonic Bergman theory on punctured domains ⋮ Mapping properties of the Bergman projections on elementary Reinhardt domains ⋮ \(L^p\) regularity of Toeplitz operators on generalized Hartogs triangles

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