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Journal Articles Matematičeskij sbornik Year : 2018

Constrained extremal problems in H2 and Carleman's formulae

Abstract

We consider the extremal problem of best approximation to some function $f$ in $L^2(I)$, with $I$ a subset of the circle, by the trace of a Hardy function whose modulus is bounded pointwise by some gauge function on the complementary subset.
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Dates and versions

hal-01625840 , version 1 (29-10-2017)

Identifiers

Cite

Laurent Baratchart, Juliette Leblond, Fabien Seyfert. Constrained extremal problems in H2 and Carleman's formulae. Matematičeskij sbornik, 2018, 209 (7), pp.36. ⟨10.4213/sm8900⟩. ⟨hal-01625840⟩
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