76 citations · 360 across the 60 of their papers we have counts for
4 papers · 1 filter
The T1 theorem for the Hilbert transform fails when p is not 2
Michel Alexis, Jose Luis Luna-Garcia, Eric T. Sawyer +1
Given p between 1 and infinity, but not 2, we show that the T1 theorem for the Hilbert transform fails for L^{p}, despite holding for p equal to 2
Sum of squares I: scalar functions
Lyudmila Korobenko, Eric T. Sawyer
This is the first in a series of three papers dealing with sums of squares and hypoellipticity in the infinite regime. We give a sharp sufficient condition on a smooth nonnegative…
Sums of squares II: matrix functions
Lyudmila Korobenko, Eric T. Sawyer
This is the second in a series of three papers dealing with sums of squares and hypoellipticity in the infinitely degenerate regime. We give sharp conditions on the entries of a po…
Sums of squares III: hypoellipticity in the infinitely degenerate regime
Lyudmila Korobenko, Eric T. Sawyer
This is the third in a series of papers dealing with sums of squares and hypoellipticity in the infinitely degenerate regime. We establish a C^2,delta generalization of M. Christ's…