Embedding theorems for anisotropic Lipschitz spaces

F. J. Pérez. "Embedding theorems for anisotropic Lipschitz spaces." Studia Mathematica 168.1 (2005): 51-72. <http://eudml.org/doc/285372>.

@article{F2005,
abstract = {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.},
author = {F. J. Pérez},
journal = {Studia Mathematica},
keywords = {anisotropic Lipschitz class; anisotropic Besov space; anisotropic Lorentz spaces; iterative non-increasing rearrangement},
language = {eng},
number = {1},
pages = {51-72},
title = {Embedding theorems for anisotropic Lipschitz spaces},
url = {http://eudml.org/doc/285372},
volume = {168},
year = {2005},
}

TY - JOUR
AU - F. J. Pérez
TI - Embedding theorems for anisotropic Lipschitz spaces
JO - Studia Mathematica
PY - 2005
VL - 168
IS - 1
SP - 51
EP - 72
AB - 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.
LA - eng
KW - anisotropic Lipschitz class; anisotropic Besov space; anisotropic Lorentz spaces; iterative non-increasing rearrangement
UR - http://eudml.org/doc/285372
ER -