BMO functions and the ∂-equation

Nicholas Th. Varopoulos

Vol. 71 (1977), No. 1, 221–273

DOI: 10.2140/pjm.1977.71.221

Abstract

The ∂-equation associated with the Corona problem for several complex variables is examined and the relation of that equation with BMO functions on the boundary is brought to light. A new characterisation, closely related with the H¹ duality, for BMO functions is obtained.

Mathematical Subject Classification 2000

Primary: 32A99

Secondary: 46E99

Milestones

Received: 10 June 1976

Published: 1 July 1977