A remark on weighted inequalities for general maximal operators
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- by C. Pérez
- Proc. Amer. Math. Soc. 119 (1993), 1121-1126
- DOI: https://doi.org/10.1090/S0002-9939-1993-1107275-0
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Abstract:
Let $1 < p < \infty$, and let $w,\;v$ be two nonnegative functions. We give a sufficient condition on $w,\;v$ for which the general maximal operator ${M_\mathcal {B}}$ is bounded from ${L^p}(v)$ into ${L^p}(w)$. Our condition is stronger but closely related to the ${A_{p,\mathcal {B}}}$ condition for two weights.References
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Bibliographic Information
- © Copyright 1993 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 119 (1993), 1121-1126
- MSC: Primary 42B25; Secondary 47B38
- DOI: https://doi.org/10.1090/S0002-9939-1993-1107275-0
- MathSciNet review: 1107275