Sur les suites d’interpolation en plusieurs variables

Denise Amar and Eric Amar

Vol. 75 (1978), No. 1, 15–20

DOI: 10.2140/pjm.1978.75.15

Abstract

We prove that there exists a sequence σ in the polydisc D² of C² (resp in the unit ball B₂ of C²) such that σ is strongly H²(D²) (resp. H²(B²)) interpolating but not H^∞(D²) (resp. H^∞(B₂)) interpolating. These results are corollaries of a result of this kind for the Bergman class A²(D) of the unit disc.

Mathematical Subject Classification 2000

Primary: 32E30

Milestones

Received: 28 January 1976

Revised: 3 May 1977

Published: 1 March 1978