103 citations · 183 across the 2 of their papers we have counts for
3 papers
math.CA2013★ 103 cited
Two Weight Inequality for the Hilbert Transform: A Real Variable Characterization, II
Michael T Lacey
A conjecture of Nazarov--Treil--Volberg on the two weight inequality for the Hilbert transform is verified. Given two non-negative Borel measures u and w on the real line, the Hilb…
math.CA2012★ 80 cited
Two Weight Inequality for the Hilbert Transform: A Real Variable Characterization, I
Michael T. Lacey, Eric T. Sawyer, Chun-Yen Shen +1
The two weight inequality for the Hilbert transform arises in the settings of analytic function spaces, operator theory, and spectral theory, and what would be most useful is a cha…
math.CA2008
A characterization of two weight norm inequalities for maximal singular integrals with one doubling measure
M. T. Lacey, E. T. Sawyer, I. Uriarte-Tuero
We characterize two-weight inequalities for certain maximal truncations of the Hilbert transform in terms of testing conditions on simpler functions. For 1<p<2 and two positive Bor…