Variations on the theme of Marcinkiewicz' inequality

2000/07/03 by V. Matsaev, Matsaev, V., I. Ostrovskii +3
Mathematics · #30D20 #42A50 #Complex Variables (math.CV) #FOS: Mathematics #math.CV #msc:30D20 #msc:42A50

paper · pdf · doi:10.48550/arxiv.math/0007013

32 pages

arxiv created 2000/07/03 · arxiv updated 2009/11/30

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.

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