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Some Banach space embeddings of classical function spaces

Published online by Cambridge University Press:  17 April 2009

N.L. Carothers  and
S.J. Dilworth
N.L. Carothers
Affiliation:
Department of Mathematics and Statistics, Bowling Green State University, Bowling Green OH 43403-0221, United States of America
S.J. Dilworth
Affiliation:
Department of Mathematics, University of South Carolina, Columbia SC 29208, United States of America
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Abstract

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Banach space embeddings of the Orlicz space Lp + Lq and the Lorentz space Lp, q into the Lebesgue-Bochner space Lr(ls) are demonstrated for appropriate ranges of the parameters.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 43 , Issue 1 , February 1991 , pp. 73 - 77
Copyright
Copyright © Australian Mathematical Society 1991

References

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