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Quantitative results on continuity of the spectral factorization mapping in the scalar case

Ephremidze, Lasha
; 
Shargorodsky, Eugene
; 
Spitkovsky, Ilya
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).
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2016-10-01
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Mathematics
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quantitative_results.pdf
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Mathematics
DOI
10.1007/s40590-016-0117-7
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https://scholarworks.wm.edu/handle/internal/1488
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