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

Qinsheng, Lai

doi:10.1090/S0002-9939-96-03099-7

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

Proc. Amer. Math. Soc. 124 (1996), 527-537

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

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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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