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Smooth 2-homogeneous polynomials on the plane with a hexagonal norm

  • Sung Guen Kim [1]
    1. [1] Kyungpook National University

      Kyungpook National University

      Corea del Sur

  • Localización: Extracta mathematicae, ISSN-e 0213-8743, Vol. 37, Nº 2, 2022, págs. 243-259
  • Idioma: inglés
  • DOI: 10.17398/2605-5686.37.2.243
  • Enlaces
  • Resumen
    • Motivated by the classifications of extreme and exposed 2-homogeneous polynomials on the plane with the hexagonal norm ||(x, y)|| = max{|y|, |x| + |y|/2} (see [15, 16]), we classify all smooth 2-homogeneous polynomials on R2 with the hexagonal norm.

  • Referencias bibliográficas
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    • [9] R.B. Holmes, “Geometric Functional Analysis and its Applications”, Springer-Verlag, New York-Heidelberg, 1975.
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