L and weak L estimates for the maximal Riesz transform and the maximal Beurling transform
نویسندگان
چکیده
We prove L estimates for the maximal Riesz transform in terms of the Riesz transform itself, for 1 < p ≤ ∞. We show that the corresponding weak L1 estimate fails for the maximal Riesz transform, but surprisingly does hold for the maximal Beurling transform.
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