Vol. 32, No. 1, 1970

Download this article
Download this article. For screen
For printing
Recent Issues
Vol. 331: 1
Vol. 330: 1  2
Vol. 329: 1  2
Vol. 328: 1  2
Vol. 327: 1  2
Vol. 326: 1  2
Vol. 325: 1  2
Vol. 324: 1  2
Online Archive
Volume:
Issue:
     
The Journal
About the journal
Ethics and policies
Peer-review process
 
Submission guidelines
Submission form
Editorial board
Officers
 
Subscriptions
 
ISSN 1945-5844 (electronic)
ISSN 0030-8730 (print)
 
Special Issues
Author index
To appear
 
Other MSP journals
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