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Zapiski Nauchnykh Seminarov POMI, 2018, Volume 467, Pages 191–206 (Mi znsl6577)  
This article is cited in 1 scientific paper (total in 1 paper)

Stability of nearly optimal decompositions in Fourier analysis

A. S. Tselishchevab

a St. Petersburg Department of Steklov Mathematical Institute of Russian Academy of Sciences, St. Petersburg, Russia
b Chebyshev Laboratory, St. Petersburg State University, St. Petersburg, Russia
Full-text PDF (217 kB) Citations (1)
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Abstract: The question of existence is treated 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 $(L^1,L^p)$ are shown to exist when the operator is the projection on wavelets and these wavelets possess only some weak conditions of decay at infinity.
Key words and phrases: wavelets, near-minimizers, stability, singular integrals.
Funding agency Grant number
Russian Science Foundation 18-11-00053
Received: 14.06.2018
English version:
Journal of Mathematical Sciences (New York), 2019, Volume 243, Issue 6, Pages 949–959
DOI: https://doi.org/10.1007/s10958-019-04595-1
Bibliographic databases:
Document Type: Article
UDC: 517.98
Language: Russian
Citation: A. S. Tselishchev, “Stability of nearly optimal decompositions in Fourier analysis”, Investigations on linear operators and function theory. Part 46, Zap. Nauchn. Sem. POMI, 467, POMI, St. Petersburg, 2018, 191–206; J. Math. Sci. (N. Y.), 243:6 (2019), 949–959
Citation in format AMSBIB
\Bibitem{Tse18}
\by A.~S.~Tselishchev
\paper Stability of nearly optimal decompositions in Fourier analysis
\inbook Investigations on linear operators and function theory. Part~46
\serial Zap. Nauchn. Sem. POMI
\yr 2018
\vol 467
\pages 191--206
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl6577}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2019
\vol 243
\issue 6
\pages 949--959
\crossref{https://doi.org/10.1007/s10958-019-04595-1}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85075209177}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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