A weighted weak type inequality for the maximal function
| Autor: | Sawyer, E. |
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| Zdroj: | Proceedings of the American Mathematical Society; 1985, Vol. 93 Issue: 4 p610-614, 5p |
| Abstrakt: | We show that the operator $ S = {\upsilon ^{ - 1}}M\upsilon $ denotes the HardyLittlewood maximal operator, is of weak type (1,1) with respect to the measure $ \upsilon (x)w(x)dx$ and $ w$ weights. B. Muckenhoupt's weighted norm inequality for the maximal function can then be obtained directly from the P. Jones factorization of  weights using interpolation with change of measure. |
| Databáze: | Supplemental Index |
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