We prove Lp 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. © International Press 2006.
|Journal||Mathematical Research Letters|
|Publication status||Published - 1 Sep 2006|