Showing math.CVShow all
2 papers · 1 filter
math.CV2001
Asymptotics of the Fourier and Laplace transforms in weighted spaces of analytic functions
Vladimir Matsaev, Mikhail Sodin
We study the asymptotics near the origin of the Fourier transform in weighted Hardy spaces of analytic functions in the upper half-plane, and of the Laplace transform in weighted s…
math.CV2000
Variations on the theme of Marcinkiewicz' inequality
V. Matsaev, I. Ostrovskii, M. Sodin
We present a new approach to the Marcinkiewicz interpolation inequality for the distribution function of the Hilbert transform, and prove an "abstract" version of this inequality.…