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Proceedings of the American Mathematical Society

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A note on the weighted norm inequality for the one-sided maximal operator

Author: Lai Qinsheng
Journal: Proc. Amer. Math. Soc. 124 (1996), 527-537
MSC (1991): Primary 42B25
MathSciNet review: 1301523
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Abstract: Let $M_g^+$ be the one-sided maximal function. In this note we obtain some necessary and sufficient conditions in order that the weighted weak type inequality holds for $M_g^+$. Meanwhile, some necessary or sufficient conditions for the weighted inequality for $M_g^+$ are given.

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Additional Information

Lai Qinsheng
Affiliation: Department of Pure Mathematics, The University of Leeds, Leeds, LS2 9JT, England
Address at time of publication: Department of Mathematics & Statistics, University of Edinburgh, King’s Buildings, Mayfield Road, Edinburgh EH9 3JZ, United Kingdom

Keywords: One-sided maximal function, weighted inequality, weight
Received by editor(s): January 28, 1993
Received by editor(s) in revised form: September 7, 1994
Communicated by: J. Marshall Ash
Article copyright: © Copyright 1996 American Mathematical Society