We characterize the set of pointwise multipliers of the Besov
spaces $B^0_{\infty,1}$ and $B^0_{\infty,\infty} $. These
characterizations are used to obtain regularity results for
elliptic partial differential equations. In addition several
counterexamples are provided and the relation of various spaces of
continuous functions to these multiplier classes are studied.
Publié le : 2002-03-14
Classification:
Besov spaces of smoothness zero,
pointwise multipliers,
paraproducts characteristic,
Dini continuous functions,
gradient estimates,
46E35,
35J15
@article{1051544320,
author = {Koch, Herbert and Sickel, Winfried},
title = {Pointwise multipliers of Besov spaces of smoothness zero
and spaces of continuous functions},
journal = {Rev. Mat. Iberoamericana},
volume = {18},
number = {1},
year = {2002},
pages = { 587-626},
language = {en},
url = {http://dml.mathdoc.fr/item/1051544320}
}
Koch, Herbert; Sickel, Winfried. Pointwise multipliers of Besov spaces of smoothness zero
and spaces of continuous functions. Rev. Mat. Iberoamericana, Tome 18 (2002) no. 1, pp. 587-626. http://gdmltest.u-ga.fr/item/1051544320/