101 citations · 236 across the 31 of their papers we have counts for
34 papers
Directional maximal operators in the plane
Edward Kroc, Juyoung Lee, Malabika Pramanik
This monograph investigates the Lebesgue boundedness of planar directional maximal operators . These are maximal averages of functions over line segments in whos…
Two-point patterns determined by curves
Benjamin B. Bruce, Malabika Pramanik
Let be a smooth curve containing the origin. Does every Borel subset of of sufficiently small codimension enjoy a Sárközy-like property with r…
A Furstenberg-type problem for circles, and a Kaufman-type restricted projection theorem in
Malabika Pramanik, Tongou Yang, Joshua Zahl
We resolve a conjecture of Fässler and Orponen on the dimension of exceptional projections to one-dimensional subspaces indexed by a space curve in . We do this by ob…
Large sets avoiding affine copies of infinite sequences
Angel Cruz, Chun-Kit Lai, Malabika Pramanik
A conjecture of Erdős states that for any infinite set , there exists of positive Lebesgue measure that does not contain any nontrivi…
Fourier dimension and avoidance of linear patterns
Yiyu Liang, Malabika Pramanik
The results in this paper are of two types. On one hand, we construct sets of large Fourier dimension that avoid nontrivial solutions of certain classes of linear equations. In par…
Bergman spaces under maps of monomial type
Alexander Nagel, Malabika Pramanik
For appropriate domains we consider mappings of monomial type. We obtain an orthogonal decomposition of the Bergman space $\mathcal A^{…