R. Oberlin

activity

20052020

most citedThe Kakeya set and maximal conjectures for algebraic varieties over finite fields

30 citations · 85 across the 14 of their papers we have counts for

collaborators

Showing 2011 · math.CAShow all

3 papers · 2 filters

math.CA2011★ 11 cited

Estimates for compositions of maximal operators with singular integrals

Richard Oberlin

We prove weak-type (1,1) estimates for compositions of maximal operators with singular integrals. Our main object of interest is the operator $Δ^{*} Ψ$ where $Δ^{*}$ is Bourgain's maxim…

math.CA2011

Bounds on the Walsh model for M^{q,*} Carleson and related operators

Richard Oberlin

We prove an extension of the Walsh-analog of the Carleson-Hunt theorem, where the $L^{\infty}$ norm defining the Carleson maximal operator has been replaced by an $L^{q}$ maximal-multi…

math.CA2011

A Marcinkiewicz maximal-multiplier theorem

Richard Oberlin

For r < 2, we prove the boundedness of a maximal operator formed by applying all multipliers m with $∥ m ∥_{V^{r}} \leq 1$ to a given function.