On relationship between H-distributions and microlocal compactness forms

  • Nenad Antonić

    University of Zagreb, Croatia
  • Darko Mitrović

    Universität Wien, Austria
  • Ljudevit Palle

    Christian-Albrechts-Universität zu Kiel, Germany
On relationship between H-distributions and microlocal compactness forms cover
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Abstract

We give a review of the development of microlocal defect functionals and explain a connection between two recent notions in the field: the H-distributions and the microlocal compactness forms. We also provide a simplified approach to the concept of microlocal compactness forms, generalise them to a fractional setting, and connect this variant to H-distributions and Young measures.

Cite this article

Nenad Antonić, Darko Mitrović, Ljudevit Palle, On relationship between H-distributions and microlocal compactness forms. Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. 31 (2020), no. 2, pp. 297–318

DOI 10.4171/RLM/892