Global analytic hypoellipticity of □_b on circular domains

So-Chin Chen

Vol. 175 (1996), No. 1, 61–70

DOI: 10.2140/pjm.1996.175.61

Abstract

Let D be a smoothly bounded pseudoconvex domain in ℂⁿ, n ≥ 2, with real analytic boundary. In this paper we show that □_b is globally analytic hypoelliptic if D is either circular satisfying ∑ _j=1ⁿz_j(z)≠0 near the boundary bD, where r(z) is a defining function for D, or Reinhardt.

Mathematical Subject Classification

Primary: 32F40

Milestones

Received: 10 November 1993

Revised: 20 July 1994

Published: 1 September 1996