arXiv Analytics

Sign in

arXiv:1902.08541 [math.FA]AbstractReferencesReviewsResources

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

Anton Tselishchev

Published 2019-02-22Version 1

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.

Comments: 6 pages
Journal: Zap. nauchn. sem. POMI, 467 (2018), 207--214
Categories: math.FA
Related articles: Most relevant | Search more
arXiv:2310.18914 [math.FA] (Published 2023-10-29)
Zygmund regularity of even singular integral operators on domains
arXiv:math/0507312 [math.FA] (Published 2005-07-15)
Algebras of singular integral operators on Nakano spaces with Khvedelidze weights over Carleson curves with logarithmic whirl points
arXiv:1511.05702 [math.FA] (Published 2015-11-18)
Algebras of singular integral operators with kernels controlled by multiple norms

Links

Toolbox