35 citations · 168 across the 30 of their papers we have counts for
4 papers · 1 filter
Pointwise convergence of certain continuous-time double ergodic averages
Michael Christ, Polona Durcik, Vjekoslav Kovač +1
We prove a.e. convergence of continuous-time quadratic averages with respect to two commuting -actions, coming from a single jointly measurable measure-preserving $\mat…
Multi-scale sparse domination
David Beltran, Joris Roos, Andreas Seeger
We prove a bilinear form sparse domination theorem that applies to many multi-scale operators beyond Calderón-Zygmund theory, and also establish necessary conditions. Among the app…
Trilinear smoothing inequalities and a variant of the triangular Hilbert transform
Michael Christ, Polona Durcik, Joris Roos
Lebesgue space inequalities are proved for a variant of the triangular Hilbert transform involving curvature. The analysis relies on a crucial trilinear smoothing inequality develo…
Spherical maximal functions and fractal dimensions of dilation sets
Joris Roos, Andreas Seeger
For the spherical mean operators in , , we consider the maximal functions , with dilation sets $E\subse…