Variations on the theme of Marcinkiewicz' inequality

(2) Bilkent University; 3); (3) Institute for Low Temperature Physics; Ankara; I. Ostrovskii (2; Kharkov); M. Sodin (1) ((1) Tel Aviv University; V. Matsaev (1)

arxiv: math/0007013 · v1 · submitted 2000-07-03 · 🧮 math.CV

Variations on the theme of Marcinkiewicz' inequality

V. Matsaev (1) , I. Ostrovskii (2 , 3) , M. Sodin (1) ((1) Tel Aviv University , (2) Bilkent University , Ankara , (3) Institute for Low Temperature Physics , Kharkov) This is my paper

classification 🧮 math.CV

keywords inequalityapproachmarcinkiewiczabstractcanonicaldeterminantsdistributionestimates

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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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Variations on the theme of Marcinkiewicz' inequality

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