Regularity equivalence of the Szegö projection and the complex Green operator

DOI10.1090/S0002-9939-2014-12393-8zbMath1310.32043arXiv1305.0188OpenAlexW2963419605MaRDI QIDQ5496259

Marco M. Peloso, Phillip S. Harrington, Andrew S. Raich

Publication date: 30 January 2015

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1305.0188

zbMATH Keywords

\(\overline\partial\)-Neumann operator\(\overline\partial_b\) operatorCR manifolds of hypersurface typeweak \(Y(q)\) conditionweak \(Z(q)\) condition

Mathematics Subject Classification ID

Stein manifolds (32Q28) (overlinepartial) and (overlinepartial)-Neumann operators (32W05) Analysis on CR manifolds (32V20) (overlinepartial)-Neumann problems and formal complexes in context of PDEs (35N15) (overlinepartial_b) and (overlinepartial_b)-Neumann operators (32W10)

Related Items

On Hardy spaces on worm domains ⋮ Closed range estimates for \(\bar{\partial}_b\) on CR manifolds of hypersurface type ⋮ Sharp estimates for the Szegő projection on the distinguished boundary of model worm domains ⋮ Hardy spaces and the Szegő projection of the non-smooth worm domain \(D_\beta^\prime\) ⋮ L2-Sobolev theory for the complex Green operator ⋮ The complex green operator with Sobolev estimates up to a finite order ⋮ Sobolev estimates for the complex Green operator on CR submanifolds of hypersurface type ⋮ The noncommutative fractional Fourier law in bounded and unbounded domains ⋮ Compactness of the complex Green operator on non-pseudoconvex CR manifolds ⋮ Fractional powers of vector operators with first order boundary conditions ⋮ Fractional powers of higher-order vector operators on bounded and unbounded domains

Cites Work

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