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Zapiski Nauchnykh Seminarov POMI, 2018, Volume 467, Pages 207–214 (Mi znsl6578)  
Duality in a stability problem for some functionals arising in interpolation theory

A. S. Tselishchevab

a Chebyshev Laboratory, St. Petersburg State University, St. Petersburg, Russia
b St. Petersburg Department of Steklov Mathematical Institute of Russian Academy of Sciences, St. Petersburg, Russia
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Abstract: By using duality, it is shown that there exist near-minimizers for the distance functionals for the couple $(L^\infty,L^p)$, $1<p<\infty$, that are stable under the action of singular integral operators.
Key words and phrases: duality, stability, near-minimizers, singular integrals.
Funding agency Grant number
Russian Science Foundation 14-21-00035
Received: 16.08.2018
English version:
Journal of Mathematical Sciences (New York), 2019, Volume 243, Issue 6, Pages 960–964
DOI: https://doi.org/10.1007/s10958-019-04596-0
Bibliographic databases:
Document Type: Article
UDC: 517.98
Language: Russian
Citation: A. S. Tselishchev, “Duality in a stability problem for some functionals arising in interpolation theory”, Investigations on linear operators and function theory. Part 46, Zap. Nauchn. Sem. POMI, 467, POMI, St. Petersburg, 2018, 207–214; J. Math. Sci. (N. Y.), 243:6 (2019), 960–964
Citation in format AMSBIB
\Bibitem{Tse18}
\by A.~S.~Tselishchev
\paper Duality in a~stability problem for some functionals arising in interpolation theory
\inbook Investigations on linear operators and function theory. Part~46
\serial Zap. Nauchn. Sem. POMI
\yr 2018
\vol 467
\pages 207--214
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl6578}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2019
\vol 243
\issue 6
\pages 960--964
\crossref{https://doi.org/10.1007/s10958-019-04596-0}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85075208732}
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