Exceptional sets for Poisson integrals of potentials on the unit sphere in Cⁿ, p ≤ 1

Patrick Robert Ahern and Carmen Cascante

Vol. 153 (1992), No. 1, 1–13

DOI: 10.2140/pjm.1992.153.1

Abstract

In this article we show that the exceptional sets for Poisson-Szegő integrals of potentials of H^p functions in the unit ball in Cⁿ have a certain Hausdorff measure zero, and that this result is sharp.

Mathematical Subject Classification 2000

Primary: 32A40

Secondary: 32A35

Milestones

Received: 4 September 1990

Revised: 8 March 1991

Published: 1 March 1992