24 citations · 120 across the 35 of their papers we have counts for
45 papers
Sharp two-weight inequality for fractional maximal operators
Rodrigo Bañuelos, Adam Osękowski
The paper is devoted to two-weight estimates for the fractional maximal operators on general probability spaces equipped with a tree-like structure. For given $1<p\…
On a conjecture of a Pólya functional for triangles and rectangles
Rodrigo Bañuelos, Phanuel Mariano
We consider the functional given by the product of the first Dirichlet eigenvalue and the torsional rigidity of planar domains normalized by the area. This scale invariant function…
The norm of the Riesz--Titchmarsh transform for even integer
Rodrigo Bañuelos, Mateusz Kwaśnicki
The long-standing conjecture that for the norm of the Riesz--Titchmarsh discrete Hilbert transform is the same as the norm…
Sharp inequalities for discrete singular integrals on the lattice
Rodrigo Bañuelos, Daesung Kim, Mateusz Kwaśnicki
This paper investigates higher dimensional versions of the longstanding conjecture verified in [Bañuelos and Kwaśnicki, Duke Math. J. (2019)] that the -norm of the discrete…
A dual approach to Burkholder's estimates
Rodrigo Bañuelos, Tomasz Gałązka, Adam Osękowski
The paper contains an alternative proof of the celebrated estimates for differentially subordinate martingales established by Burkholder and Wang in the eighties and nineties…
Burkholder's function and a weighted bound for stochastic integrals
Rodrigo Banuelos, Michal Brzozowski, Adam Osekowski
Let be a continuous-path martingale and let be a stochastic integral, with respect to , of some predictable process with values in . We provide an explicit formu…