33 citations · 151 across the 13 of their papers we have counts for
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math.CA2011
Variation for singular integrals on Lipschitz graphs: L^p and endpoint estimates
Albert Mas
Let 0<n<d be integers and let H denote the n-dimensional Hausdorff measure restricted to an n-dimensional Lipschitz graph in R^d with slope strictly less than 1. For r>2, we prove…
math.CA2011
Variation for the Riesz transform and uniform rectifiability
Albert Mas, Xavier Tolsa
For 0<n<d integers and r>2, we prove that an n-dimensional Ahlfors-David regular measure M in R^d is uniformly n-rectifiable if and only if the r-variation for the Riesz transform…
math.CA2011★ 24 cited
Variation and oscillation for singular integrals with odd kernel on Lipschitz graphs
Albert Mas, Xavier Tolsa
We prove that, for r>2, the r-variation and oscillation for the smooth truncations of the Cauchy transform on Lipschitz graphs are bounded in L^p for 1<p finite. The analogous resu…