If Î“ is a C hypersurface in Rn and dÏƒ is induced Lebesgue measure on Î“, then it is well known that a Tomas-Stein Fourier restriction estimate on Î“ implies that Î“ has a nowhere vanishing Gaussianâ€¦ (More)

Nazarov and Shapiro conjectured that any composition operator is weakly asymptotically Toeplitz on the Hardy space H2(U), and showed that any such operator is mean weakly asymptotically Toeplitz. Weâ€¦ (More)

For [Formula: see text], we obtain two-sided inequalities for the moment integral [Formula: see text]. These are then used to give the exact asymptotic behavior of the integral as [Formula: seeâ€¦ (More)

Let Q be a real polynomial of degree N all of whose zeros lie in the half-plane Re z < 0. Let M(r, Q) be the maximum of | Q(z) | on \z\= r and n(r,0) the counting function of the zeros of Q. It isâ€¦ (More)