Email this article Stability of Nearly Optimal Decompositions in Fourier Analysis
- Authors: Tselishchev A.1
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Affiliations:
- Chebyshev Laboratory, St.Petersburg State University and St.Petersburg Department of Steklov Institute of Mathematics
- Issue: Vol 243, No 6 (2019)
- Pages: 949-959
- Section: Article
- URL: https://bakhtiniada.ru/1072-3374/article/view/243190
- DOI: https://doi.org/10.1007/s10958-019-04595-1
- ID: 243190
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Abstract
We consider the existence problem for near-minimizers for the distance functional (or E-functional in the interpolation terminology) that are stable under the action of certain operators. In particular, stable near-minimizers for the couple (L1, Lp) are shown to exist when the operator is the projection to wavelets and these wavelets satisfy only some weak decay conditions at infinity.
About the authors
A. Tselishchev
Chebyshev Laboratory, St.Petersburg State University and St.Petersburg Department of Steklov Institute of Mathematics
Author for correspondence.
Email: celis-anton@yandex.ru
Russian Federation, St.Petersburg
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