2 papers
math.CA2024
On the Uniqueness of the Norton-Sullivan Quasiconformal extension
José Afonso Barrionuevo, Felipe Gonçalves, José Victor Medeiros +1
We show that the extension map \[ \mathcal{E}_{NS}(f)(z)=\frac{f(x+y)+f(x-y)}{2}+i\frac{f(x+y)-f(x-y)}{2}\mbox{ for all }z=x+iy\in\mathbb{H}\,, \] defined by Norton and Sullivan in…
math.CA2017
Bilinear Spherical Maximal Function
J. A. Barrionevo, Loukas Grafakos, Danqing He +2
We obtain boundedness for the bilinear spherical maximal function in a range of exponents that includes the Banach triangle and a range of with . We also obtain countere…