Boundary Regularity of the Solution of the ∂̅-Equation in the Polydisc

Piotr Jakóbczak
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Piotr Jakóbczak: Jagiellonian University, Mathematical Institute

A chapter in Deformations of Mathematical Structures, 1989, pp 177-189 from Springer

Abstract: Abstract Henkin and Sergeev [4] introduced the solution operator for the ∂̅-equation with uniform estimates for strictly pseudoconvex poly-hedra (satisfying some additional assumption). We prove that in the unit polydisc in ℂn (which is one of the simplest examples of strictly pseudoconvex polyhedra) the operator admits Ck-estimates for (0,1)—forms (Theorem 1).

Date: 1989
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DOI: 10.1007/978-94-009-2643-1_17

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