On multiplicators in H\"older spaces with nonhomogeneous metrics
Zapiski Nauchnykh Seminarov POMI, Boundary-value problems of mathematical physics and related problems of function theory. Part 31, Tome 271 (2000), pp. 156-174
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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.
@article{ZNSL_2000_271_a10,
author = {O. A. Ladyzhenskaya},
title = {On multiplicators in {H\"older} spaces with nonhomogeneous metrics},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {156--174},
publisher = {mathdoc},
volume = {271},
year = {2000},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_2000_271_a10/}
}
O. A. Ladyzhenskaya. On multiplicators in H\"older spaces with nonhomogeneous metrics. Zapiski Nauchnykh Seminarov POMI, Boundary-value problems of mathematical physics and related problems of function theory. Part 31, Tome 271 (2000), pp. 156-174. http://geodesic.mathdoc.fr/item/ZNSL_2000_271_a10/