Uniform estimates for solutions of the $\overline\partial$-equation in pseudoconvex polyhedra

A. G. Sergeev   ; G. M. Henkin

Sbornik. Mathematics, Tome 40 (1981) no. 4, pp. 469-507

Résumé

It is proved that the nonhomogeneous Cauchy–Riemann equation on an analytic submanifold “in general position” in a Cartesian product of strictly convex domains admits a solution with a uniform estimate. The possibility of weakening the requirement of “general position” in this result is investigated. Bibliography: 46 titles.

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