Variations on the theme of Marcinkiewicz' inequality

Details Variations on the theme of Marcinkiewicz' inequality Variations on the theme of Marcinkiewicz' inequality

2000-07-03

arxiv.org/abs/math/0007013v1

Mathematics

Complex Variables

32 pages

Scientific paper

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.

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