Vol. 90, No. 2, 1980

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Hölder estimates for the equation with a support condition

Frank Hayne Beatrous, Jr.

Vol. 90 (1980), No. 2, 249–257
Abstract

A Hölder estimate for solutions to u = α in weakly pseudoconvex domains is obtained when the restriction of α to the boundary vanishes near the set of degeneracy of the Levi form. Applications are given to holomorphic approximation and division problems.

Mathematical Subject Classification 2000
Primary: 32F15
Secondary: 32A40
Milestones
Received: 22 May 1979
Published: 1 October 1980
Authors
Frank Hayne Beatrous, Jr.