Duality in a Stability Problem for Some Functionals Arising in Interpolation Theory


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Using duality, we show that there exist near-minimizers for the distance functionals for the couple (L, Lp), 1 < p < ∞, that are stable under the action of singular integral operators.

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A. Tselishchev

Chebyshev Laboratory, St. Petersburg State University; St. Petersburg Department of Steklov Institute of Mathematics

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Email: celis-anton@yandex.ru
俄罗斯联邦, St. Petersburg; St. Petersburg


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