Email this article Duality in a Stability Problem for Some Functionals Arising in Interpolation Theory
- Authors: Tselishchev A.1,2
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Affiliations:
- Chebyshev Laboratory, St. Petersburg State University
- St. Petersburg Department of Steklov Institute of Mathematics
- Issue: Vol 243, No 6 (2019)
- Pages: 960-964
- Section: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/243192
- DOI: https://doi.org/10.1007/s10958-019-04596-0
- ID: 243192
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Abstract
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.
About the authors
A. Tselishchev
Chebyshev Laboratory, St. Petersburg State University; St. Petersburg Department of Steklov Institute of Mathematics
Author for correspondence.
Email: celis-anton@yandex.ru
Russian Federation, St. Petersburg; St. Petersburg
