On the Cauchy problem for the multi-dimensional Cauchy-Riemann operator in the Lebesgue space $ L^2$ in a domain

DOI10.1070/SM2008v199n11ABEH003978zbMath1165.32019OpenAlexW2024500672MaRDI QIDQ3617350

Dmitry Fedchenko, Alexandre A. Shlapunov

Publication date: 23 March 2009

Published in: Sbornik: Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/sm2008v199n11abeh003978

zbMATH Keywords

Cauchy problemBochner-Martinelli kernelCauchy-Riemann operatorCarleman formulae

Mathematics Subject Classification ID

Continuation of analytic objects in several complex variables (32D15) Integral representations, constructed kernels (e.g., Cauchy, Fantappiè-type kernels) (32A26) (overlinepartial) and (overlinepartial)-Neumann operators (32W05) Boundary behavior of holomorphic functions of several complex variables (32A40)

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