A solution operator for \(\bar\partial\) on the Hartogs triangle and \(L^p\) estimates

DOI10.1007/s00208-018-1778-5zbMath1439.32098arXiv1710.04704OpenAlexW2963548613MaRDI QIDQ2290807

Yanyan Li

Publication date: 29 January 2020

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1710.04704

zbMATH Keywords

polydisc\(\overline\partial\)-equationHartogs triangle\(L_p\)-estimatesintegral operator for solution

Mathematics Subject Classification ID

Integral representations, constructed kernels (e.g., Cauchy, Fantappiè-type kernels) (32A26) (overlinepartial) and (overlinepartial)-Neumann operators (32W05) Special domains (Reinhardt, Hartogs, circular, tube, etc.) in (mathbb{C}^n) and complex manifolds (32Q02)

Related Items

Optimal Hölder regularity for the ∂̄ problem on product domains in ℂ² ⋮ Extendability and the \(\overline{\partial}\) operator on the Hartogs triangle ⋮ Lp‐Estimates for the ∂¯b‐equation on a class of infinite type domains ⋮ Some estimates for the Cauchy transform in higher dimensions ⋮ \(L^p\) boundedness of Forelli-Rudin type operators on the Hartogs triangle ⋮ On the canonical solution of \(\overline{\partial}\) on polydisks ⋮ Hölder estimates for the ∂̄ problem for (p,q) forms on product domains ⋮ Weighted estimates for Forelli-Rudin type operators on the Hartogs triangle

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