30 citations · 85 across the 14 of their papers we have counts for
18 papers
Variation bounds for spherical averages
David Beltran, Richard Oberlin, Luz Roncal +2
We consider -variation operators for the family of spherical means, with special emphasis on estimates.
Sparse bounds for a prototypical singular Radon transform
Richard Oberlin
We use a variant of the technique in [Lac17a] to give sparse L^p(log(L))^4 bounds for a class of model singular and maximal Radon transforms
Dimensions of sums with self-similar sets
Daniel Oberlin, Richard Oberlin
For some self-similar sets K in d-dimensional Euclidean space we obtain certain lower bounds for the lower Minkowski dimension of K+E in terms of the lower Minkowski dimension of E…
Variation-norm and fluctuation estimates for ergodic bilinear averages
Yen Do, Richard Oberlin, Eyvindur A. Palsson
For any dynamical system, we show that higher variation-norms for the sequence of ergodic bilinear averages of two functions satisfy a large range of bilinear Lp estimates. It foll…
Spherical Means and Pinned Distance Sets
Daniel Oberlin, Richard Oberlin
We use mixed norm estimates for the spherical averaging operator to obtain some results concerning pinned distance sets.
Application of a Fourier restriction theorem to certain families of projections in R^3
Daniel Oberlin, Richard Oberlin
We use a restriction theorem for Fourier transforms of fractal measures to study projections onto families of planes in R^3 whose normal directions form nondegenerate curves.