Vol. 32, No. 1, 1970

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Coefficient multipliers of Hp and Bp spaces

Peter Larkin Duren and Allen Lowell Shields

Vol. 32 (1970), No. 1, 69–78
Abstract

This paper describes the coefficient multipliers of Hp(0 < p < 1) into lq(p q ) and into Hq(1 q ). These multipliers are found to coincide with those of the larger space Bp into lq(1 q ) and into Hq(1 q ). The multipliers of Hp and Bv into Bq(0 < p < 1,0 < q < 1) are also characterized.

Mathematical Subject Classification
Primary: 30.67
Milestones
Received: 23 December 1968
Published: 1 January 1970
Authors
Peter Larkin Duren
Allen Lowell Shields