Embedding theorems for anisotropic Lipschitz spaces
Tom 168 / 2005
Studia Mathematica 168 (2005), 51-72 MSC: Primary 46E35, 46E30. DOI: 10.4064/sm168-1-4
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 $L^1$-norm is also covered.