On trace spaces of 2-microlocal Besov spaces with variable integrability

Authors

  • Susana D. Moura,

    1. CMUC, Department of Mathematics, University of Coimbra, Apartado 3008, 3001-454 Coimbra, Portugal. Phone: +351 239791150, Fax: +351 239793069
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  • Júlio S. Neves,

    Corresponding author
    1. CMUC, Department of Mathematics, University of Coimbra, Apartado 3008, 3001-454 Coimbra, Portugal. Phone: +351 239791150, Fax: +351 239793069
    • CMUC, Department of Mathematics, University of Coimbra, Apartado 3008, 3001-454 Coimbra, Portugal. Phone: +351 239791150, Fax: +351 239793069===

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  • Cornelia Schneider

    1. Department of Mathematics, University of Erlangen-Nürnberg, Cauerstr. 11, 91058 Erlangen, Germany. Phone: +49 (0)9131 85 67207, Fax: +49 (0)9131 85 67201
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Abstract

We study traces in 2-microlocal Besov spaces with variable integrability on hyperplanes using atomic decompositions. Our results cover spaces of variable smoothness and also weighted spaces studied extensively in recent years.

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