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Hardy Spaces for Boundary Value Problems of Elliptic Systems with Block Structure

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Abstract

We present recent results on elliptic boundary value problems where the theory of Hardy spaces associated with operators plays a key role.

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Notes

  1. As usual, the notation \({\text {C}}_0([0,\infty ))\) means continuity and limit 0 at infinity.

  2. The constant is chosen via Hardy–Sobolev embeddings such that \(f\in {\text {L}}^{p^*}\).

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Authors and Affiliations

  1. Université Paris-Saclay, CNRS, Laboratoire de Mathématiques d’Orsay, 91405, Orsay, France

    Pascal Auscher & Moritz Egert

  2. Laboratoire Amiénois de Mathématiques Fondamentale et Appliquée, UMR 7352 du CNRS, Université de Picardie-Jules Verne, 80039, Amiens, France

    Pascal Auscher

Authors
  1. Pascal Auscher
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  2. Moritz Egert
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Correspondence to Pascal Auscher.

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In the honor of Guido Weiss’ ninetieth birthday.

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The authors were supported by the ANR project RAGE ANR-18-CE40-0012. This material is based upon work that got started under NSF Grant DMS-1440140 while Auscher was in residence at the MSRI in Berkeley, California, during the Spring 2017 semester. Egert also thanks this institute for hospitality.

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Auscher, P., Egert, M. Hardy Spaces for Boundary Value Problems of Elliptic Systems with Block Structure. J Geom Anal 31, 9182–9198 (2021). https://doi.org/10.1007/s12220-021-00608-1

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