101 citations · 193 across the 13 of their papers we have counts for
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math.CA2009★ 12 cited
Maximal operators and differentiation theorems for sparse sets
Izabella Laba, Malabika Pramanik
We study maximal averages associated with singular measures on $\rr$. Our main result is a construction of singular Cantor-type measures supported on sets of Hausdorff dimension $1…
math.CA2009★ 9 cited
The Favard length of product Cantor sets
Izabella Laba, Kelan Zhai
Nazarov, Peres and Volberg proved recently that the Favard length of the -th iteration of the four-corner Cantor set is bounded from above by for an appropriate . We…