Georgian Mathematical Journal 13 (2006), No. 1, 153--172
Copyright Heldermann Verlag 2006
A Vector-Valued Sharp Maximal Inequality on Morrey Spaces with Non-Doubling Measures
Yoshihiro Sawano
Graduate School of Mathematical Sciences, University of Tokyo, 3-8-1 Komaba, Meguro-ku, Tokyo 153-8914, Japan
yosihiro@ms.u-tokyo.ac.jp
We consider the vector-valued extension of the Fefferman-Stein-Strömberg sharp maximal inequality under growth condition. As an application we obtain a vector-valued extension of the boundedness of the commutator. Furthermore, we prove the boundedness of the commutator.
Keywords: Weighted norm inequality, non-doubling nonhomogeneous measures, sharp-maximal function, commutator.
MSC: 42B35; 42B25
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