Coefficient multipliers of H^p and B^p spaces

Peter Larkin Duren and Allen Lowell Shields

Vol. 32 (1970), No. 1, 69–78

DOI: 10.2140/pjm.1970.32.69

Abstract

This paper describes the coefficient multipliers of H^p(0 < p < 1) into l^q(p ≦ q ≦∞) and into H^q(1 ≦ q ≦∞). These multipliers are found to coincide with those of the larger space B^p into l^q(1 ≦ q ≦∞) and into H^q(1 ≦ q ≦∞). The multipliers of H^p and B^v into B^q(0 < p < 1,0 < q < 1) are also characterized.

Mathematical Subject Classification

Primary: 30.67

Milestones

Received: 23 December 1968

Published: 1 January 1970