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Zapiski Nauchnykh Seminarov POMI, 2000, Volume 271, Pages 156–174 (Mi znsl1354)  

This article is cited in 5 scientific papers (total in 6 papers)

On multiplicators in Hölder spaces with nonhomogeneous metrics

O. A. Ladyzhenskaya

St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences
Full-text PDF (256 kB) Citations (6)
Abstract: In § 2 sufficient conditions of boundedness of the convolution operators with kernel $m$ in a nonhomogeneous Hölder space are given in terms of the Fourier-image of $m$. After that the result of § 2 are used to prove solvability in a Hölder space of the Cauchy problem for the linear systems of hydrodynamical type.
Received: 01.10.2000
English version:
Journal of Mathematical Sciences (New York), 2003, Volume 115, Issue 6, Pages 2792–2802
DOI: https://doi.org/10.1023/A:1023373920221
Bibliographic databases:
UDC: 517
Language: Russian
Citation: O. A. Ladyzhenskaya, “On multiplicators in Hölder spaces with nonhomogeneous metrics”, Boundary-value problems of mathematical physics and related problems of function theory. Part 31, Zap. Nauchn. Sem. POMI, 271, POMI, St. Petersburg, 2000, 156–174; J. Math. Sci. (N. Y.), 115:6 (2003), 2792–2802
Citation in format AMSBIB
\Bibitem{Lad00}
\by O.~A.~Ladyzhenskaya
\paper On multiplicators in H\"older spaces with nonhomogeneous metrics
\inbook Boundary-value problems of mathematical physics and related problems of function theory. Part~31
\serial Zap. Nauchn. Sem. POMI
\yr 2000
\vol 271
\pages 156--174
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl1354}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1810615}
\zmath{https://zbmath.org/?q=an:1025.47016}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2003
\vol 115
\issue 6
\pages 2792--2802
\crossref{https://doi.org/10.1023/A:1023373920221}
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  • https://www.mathnet.ru/eng/znsl/v271/p156
  • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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