"Quantitative results on continuity of the spectral factorization mappi" by Lasha Ephremidze, Eugene Shargorodsky et al.
 

Document Type

Article

Department/Program

Mathematics

Journal Title

BOLETIN DE LA SOCIEDAD MATEMATICA MEXICANA

Pub Date

10-2016

Volume

22

Issue

2

Abstract

In the scalar case, the spectral factorization mapping f -> f(+) puts a nonnegative integrable function f having an integrable logarithm in correspondence with an outer analytic function f(+) such that f = vertical bar f(+)vertical bar(2) is almost everywhere. The main question addressed here is to what extent parallel to f(+) - g(+)parallel to(H2) is controlled by parallel to f - g parallel to(L1) and parallel to log f - log g parallel to(L1).

DOI

10.1007/s40590-016-0117-7

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