Boundedness of the maximal operator on weighted BMO

Bloom, Steven

doi:10.1090/S0002-9939-1985-0781055-3

Boundedness of the maximal operator on weighted BMO
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Proc. Amer. Math. Soc. 94 (1985), 52-54 Request permission

Abstract:

The Hardy-Littlewood maximal operator ${M^*}$ is a bounded operator mapping ${\text {BM}}{{\text {O}}_w}$, into ${\text {BL}}{{\text {O}}_w}$ if and only if the weight $w$ is a Reverse Hölder weight in weak ${\alpha _2}$.

References

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