A. S. Tselishchev, “Duality in a stability problem for some functionals arising in interpolation theory”, Zap. Nauchn. Sem. POMI, 2018, Volume 467,Pages <nobr>207

Duality in a stability problem for some functionals arising in interpolation theory

A. S. Tselishchev^ab

^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

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.

UDC: 517.98

Received: 16.08.2018