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Boundedness Criteria for Generalized Hankel Conjugate Transformations

Published online by Cambridge University Press:  20 November 2018

R. A. Kerman
R. A. Kerman*
Affiliation:
Brock University, St. Catharines, Ontario
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This paper completes a study, begun in [7], of conditions under which a generalized Hankel conjugate transformation Hƛ is bounded between a pair of μα -rearrangement invariant function spaces, the measure μα being defined by dμα(t) = tα∼1dt. Examples of such spaces are the Lp(μα) of Lebesgue and generalizations of them due respectively to Orlicz and Lorentz.

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 30 , Issue 1 , 01 February 1978 , pp. 147 - 153
Copyright
Copyright © Canadian Mathematical Society 1978

References

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