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MORREY SPACES AND FRACTIONAL OPERATORS

Part of: Harmonic analysis in several variables

Published online by Cambridge University Press:  05 March 2010

HITOSHI TANAKA
HITOSHI TANAKA*
Affiliation:
Graduate School of Mathematical Sciences, The University of Tokyo, 3-8-1 Komaba, Meguro-ku Tokyo 153-8914, Japan (email: htanaka@ms.u-tokyo.ac.jp)
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Abstract

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The relation between the fractional integral operator and the fractional maximal operator is investigated in the framework of Morrey spaces. Applications to the Fefferman–Phong and the Olsen inequalities are also included.

Keywords

fractional integral operatorfractional maximal operatorMorrey spacevector-valued inequality

MSC classification

Secondary: 42B35: Function spaces arising in harmonic analysis

Information

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 88 , Issue 2 , April 2010 , pp. 247 - 259
Copyright
Copyright © Australian Mathematical Publishing Association Inc. 2010

References

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