Regularity at the boundary and tangential regularity of solutions of the Cauchy-Riemann system

Authors

Tran Vu Khanh, University of WollongongFollow
Giuseppe Zampieri, University of Padova

RIS ID

100679

Publication Details

Khanh, T. & Zampieri, G. (2013). Regularity at the boundary and tangential regularity of solutions of the Cauchy-Riemann system. Pacific Journal of Mathematics, 265 (2), 491-498.

Abstract

For a pseudoconvex domain DcCn. we prove the equivalence of the local hypoellipticity of the system (a,a*) with the system (a,ab*) induced at the boundary.

This develops a former result of ours in which the theory of harmonic extension by Kohn was used. This technique is inadequate for the purpose of the present paper and must be replaced by that of the holomorphic extension.