A+ CATEGORY SCIENTIFIC UNIT

Embedding theorems for anisotropic Lipschitz spaces

Volume 168 / 2005

F. J. Pérez Studia Mathematica 168 (2005), 51-72 MSC: Primary 46E35, 46E30. DOI: 10.4064/sm168-1-4

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 $L^1$-norm is also covered.

Authors

  • F. J. PérezDepartamento de Matemáticas y Computación
    Universidad de La Rioja
    Edificio J. L. Vives
    Calle Luis de Ulloa s/n
    26004 Logroño, Spain
    e-mail

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