Hardy interpolating sequences of hyperplanes

Pascal J. Thomas

Vol. 140 (1989), No. 1, 163–180

DOI: 10.2140/pjm.1989.140.163

Abstract

A sufficient condition is given on unions of complex hyperplanes in the unit ball of Cⁿ so that they allow extension of functions in the Hardy H¹ space. The result is compared to Varopoulos’ theorem about zeros of H^p functions.

Mathematical Subject Classification 2000

Primary: 32A35

Milestones

Received: 7 August 1987

Revised: 29 January 1989

Published: 1 November 1989