Bergman and Hardy spaces with small exponents

Kehe Zhu

Vol. 162 (1994), No. 1, 189–199

DOI: 10.2140/pjm.1994.162.189

Abstract

We show that for each 0 < p < 1 the dual space of the Hardy and weighted Bergman space on the open unit ball is isomorphic to the Bloch space (with equivalent norms) under certain volume integral pairing.

Mathematical Subject Classification 2000

Primary: 46E10

Secondary: 32A35

Milestones

Received: 20 November 1991

Revised: 20 October 1992

Published: 1 January 1994