Proceedings of the American Mathematical Society

Author(s): Lai Qinsheng
Journal: Proc. Amer. Math. Soc. 124 (1996), 527-537.
MSC (1991): Primary 42B25
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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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Retrieve articles in Proceedings of the American Mathematical Society with MSC (1991): 42B25

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
Email: pmt5lq@sun.leeds.ac.uk, qlai@maths.ed.ac.uk

DOI: 10.1090/S0002-9939-96-03099-7
PII: S 0002-9939(96)03099-7
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
Copyright of article: Copyright 1996, American Mathematical Society

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