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Singularities in Muckenhoupt weighted function spaces

Volume 79 / 2008

Dorothee D. Haroske Banach Center Publications 79 (2008), 95-112 MSC: Primary 46E35; Secondary 42B35. DOI: 10.4064/bc79-0-7

Abstract

We study weighted function spaces of Lebesgue, Besov and Triebel-Lizorkin type where the weight function belongs to some Muckenhoupt $\mathcal{A}_p$ class. The singularities of functions in these spaces are characterised by means of envelope functions.

Authors

  • Dorothee D. HaroskeMathematisches Institut
    Friedrich-Schiller-Universität Jena
    D-07737 Jena, Germany
    e-mail

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