A weighted weak type inequality for the maximal function
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- by E. Sawyer PDF
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Abstract:
We show that the operator $S = {\upsilon ^{ - 1}}M\upsilon$, where $M$ denotes the HardyLittlewood maximal operator, is of weak type (1,1) with respect to the measure $\upsilon (x)w(x)dx$ whenever $\upsilon$ and $w$ are ${A_1}$ weights. B. Muckenhoupt’s weighted norm inequality for the maximal function can then be obtained directly from the P. Jones factorization of ${A_p}$ weights using interpolation with change of measure.References
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Additional Information
- © Copyright 1985 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 93 (1985), 610-614
- MSC: Primary 42B25
- DOI: https://doi.org/10.1090/S0002-9939-1985-0776188-1
- MathSciNet review: 776188