Variations on the theme of Marcinkiewicz' inequality
Complex Variables
2007-05-23 v1
Abstract
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. The approach uses "logarithmic determinants" and new estimates of canonical products of genus one.
Cite
@article{arxiv.math/0007013,
title = {Variations on the theme of Marcinkiewicz' inequality},
author = {V. Matsaev and I. Ostrovskii and M. Sodin},
journal= {arXiv preprint arXiv:math/0007013},
year = {2007}
}
Comments
32 pages