A Theorem on Multiplicators in Nonhomogeneous Hölder Spaces and Some of Its Applications |
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Authors: | O A Ladyzhenskaya |
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Institution: | (1) St.Petersburg Department of the, Steklov Mathematical Institute, Russia |
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Abstract: | In Sec. 2, sufficient conditions of the boundedness of convolution operators with kernel m in a nonhomogeneous Hölder space are given in terms of the Fourier-image of m. After that, the results of Sec. 2 are used to prove the solvability in a Hölder space of the Cauchy problem for linear systems of the hydrodynamic type. Bibliography: 6 titles. |
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