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Generalized $T^p_u$ spaces: On the trail of Calderón and Zygmund

Volume 554 / 2020

Laurent Loosveldt, Samuel Nicolay Dissertationes Mathematicae 554 (2020), 1-64 DOI: 10.4064/dm798-4-2020 Published online: 18 September 2020

Abstract

We generalize the $T^p_u$ spaces introduced by Calderón and Zygmund and show that most of the results obtained in their study of the pointwise estimates for solutions of elliptic partial differential equations and systems can be generalized in this framework with $L^p$-conditions.

Authors

  • Laurent LoosveldtDépartement de mathématique – zone Polytech 1
    Université de Liège
    12 allée de la Découverte, Bât. B37
    B-4000 Liège, Belgium
    e-mail
  • Samuel NicolayDépartement de mathématique – zone Polytech 1
    Université de Liège
    12 allée de la Découverte, Bât. B37
    B-4000 Liège, Belgium
    e-mail

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