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

DOI:
https://doi.org/10.1090/S0002-9939-96-03099-7

MathSciNet review:
1301523

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Abstract | References | Similar Articles | Additional Information

Abstract: Let 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 . Meanwhile, some necessary or sufficient conditions for the weighted inequality for 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

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

DOI:
https://doi.org/10.1090/S0002-9939-96-03099-7

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

Article copyright:
© Copyright 1996
American Mathematical Society