3 citations · 3 across the 4 of their papers we have counts for
5 papers
A discussion of three arguments related to Fefferman's Fourier extension theorem in the plane
Eric T. Sawyer
The Fourier extension conjecture of E. Stein was proved in the plane in 1970 by C. Fefferman, see also Zygmund and Carleson and Sjölin, with simplifications given by other authors…
A probabilistic analogue of the Fourier extension conjecture
Eric T. Sawyer
We prove a probabilistic Fourier extension theorem that says Fourier extension holds when averaged over certain smooth Alpert multipliers. The proofs use smooth Alpert wavelets wit…
Two weight Sobolev norm inequalities for fractional vector Riesz transforms and doubling weights
Eric T. Sawyer, Brett D. Wick
We prove a T1 theorem for fractional vector Riesz transforms mapping one weighted Sobolev space to another, where the weights are doubling measures on Euclidean space. Boundedness…
Restricted testing for positive operators
Tuomas P. Hytönen, Kangwei Li, Eric T. Sawyer
We prove that for certain positive operators , such as the Hardy-Littlewood maximal function and fractional integrals, there is a constant , depending only on the dimension…
The characterization of the Carleson measures for analytic Besov spaces: a simple proof
N. Arcozzi, R. Rochberg, E. Sawyer
We give a simple proof of the characterization of the Carleson measures for the weighted analytic Besov spaces. Such characterization provides some information on the radial variat…