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Fractional integration and the hyperbolic derivative

Published online by Cambridge University Press:  17 April 2009

E.G. Kwon
E.G. Kwon
Affiliation:
Department of Mathematics Education, Andong National University, Andong, 660, South Korea
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Abstract

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We improve S. Yamashita's hyperbolic version of the well-known Hardy-Littlewood theorem. Let f be holomorphic and bounded by one in the unit disc D. If (f#)p has a harmonic mojorant in D for some p, p > 0, then so does σ(f)q for all q, 0 < q < ∞. Here

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 38 , Issue 3 , December 1988 , pp. 357 - 364
Copyright
Copyright © Australian Mathematical Society 1988

References

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