2 papers
math.CA2001
The Hilbert transform, rearrangements, and logarithmic determinants
V. Matsaev, I. Ostrovskii, M. Sodin
This is an extended version of notes prepared for the talk at the conference "Rajchman-Zygmund-Marcinkiewicz 2000" based on recent works of the authors.
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.…