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Zapiski Nauchnykh Seminarov POMI, 2000, Volume 271, Pages 156–174
(Mi znsl1354)
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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
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
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
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https://www.mathnet.ru/eng/znsl1354 https://www.mathnet.ru/eng/znsl/v271/p156
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Abstract page: | 253 | Full-text PDF : | 100 |
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