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Signed trace measures on non-isotropic Riesz potentials in the unit sphere

Carme Cascante, Joaquín M. Ortega Studia Mathematica MSC: Primary 46E35; Secondary 26A33, 31C15, 35J70 DOI: 10.4064/sm250905-19-3 Published online: 21 September 2026

Abstract

We obtain a characterization of certain bilinear forms, or equivalently, of certain signed trace measures on non-isotropic Riesz potentials $H^s(\mathbb S^n)$ on the unit sphere in $\mathbb C^n$.

Authors

  • Carme CascanteDepartament de Matemàtiques
    i Informàtica
    Universitat de Barcelona
    08071 Barcelona, Spain
    and
    Centre de Recerca Matemàtica
    08193 Bellaterra, Spain
    e-mail
  • Joaquín M. OrtegaDepartament de Matemàtiques
    i Informàtica
    Universitat de Barcelona
    08071 Barcelona, Spain
    e-mail

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