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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O. A. Ladyzhenskaya. On multiplicators in Hölder 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/
@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},
year = {2000},
volume = {271},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_2000_271_a10/}
}
TY - JOUR
AU - O. A. Ladyzhenskaya
TI - On multiplicators in Hölder spaces with nonhomogeneous metrics
JO - Zapiski Nauchnykh Seminarov POMI
PY - 2000
SP - 156
EP - 174
VL - 271
UR - http://geodesic.mathdoc.fr/item/ZNSL_2000_271_a10/
LA - ru
ID - ZNSL_2000_271_a10
ER -
%0 Journal Article
%A O. A. Ladyzhenskaya
%T On multiplicators in Hölder spaces with nonhomogeneous metrics
%J Zapiski Nauchnykh Seminarov POMI
%D 2000
%P 156-174
%V 271
%U http://geodesic.mathdoc.fr/item/ZNSL_2000_271_a10/
%G ru
%F ZNSL_2000_271_a10
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.
