Anthony Carbery

collaborators

2 papers

math.CA2026

Mollified disc multipliers

Anthony Carbery, Andreas Seeger

We prove a sharp boundedness result on $L^{4} (R^{2})$ for mollifications of the disc multiplier.

math.CA2026

A lower bound for a variation norm operator associated with circular means

David Beltran, Anthony Carbery, Luz Roncal +1

We prove that a local $L^{p} (V_{2})$ variation norm estimate fails for circular means in two dimensions, and quantify this failure by proving lower bounds for functions of exponential…