2 papers
math.CA2026
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…
math.CA2024
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 o…