Anisotropic Lipschitz spaces are considered. For these spaces we obtain sharp embeddings in Besov and Lorentz spaces. The methods used are based on estimates of iterative rearrangements. We find a unified approach that arises from the estimation of functions defined as minimum of a given system of functions. The case of L¹-norm is also covered.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-sm168-1-4,
author = {F. J. P\'erez},
title = {Embedding theorems for anisotropic Lipschitz spaces},
journal = {Studia Mathematica},
volume = {166},
year = {2005},
pages = {51-72},
zbl = {1079.46025},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm168-1-4}
}
F. J. Pérez. Embedding theorems for anisotropic Lipschitz spaces. Studia Mathematica, Tome 166 (2005) pp. 51-72. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm168-1-4/