• Title/Summary/Keyword: distributional operators

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DISTRIBUTIONAL FRACTIONAL POWERS OF SIMILAR OPERATORS WITH APPLICATIONS TO THE BESSEL OPERATORS

  • Molina, Sandra Monica
    • Communications of the Korean Mathematical Society
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    • v.33 no.4
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    • pp.1249-1269
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    • 2018
  • This paper provides a method to study the nonnegativity of certain linear operators, from other operators with similar spectral properties. If these new operators are formally self-adjoint and nonnegative, we can study the complex powers using an appropriate locally convex space. In this case, the initial operator also will be nonnegative and we will be able to study its powers. In particular, we have applied this method to Bessel-type operators.

LIOUVILLE THEOREMS FOR THE MULTIDIMENSIONAL FRACTIONAL BESSEL OPERATORS

  • Galli, Vanesa;Molina, Sandra;Quintero, Alejandro
    • Communications of the Korean Mathematical Society
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    • v.37 no.4
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    • pp.1099-1129
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    • 2022
  • In this paper, we establish Liouville type theorems for the fractional powers of multidimensional Bessel operators extending the results given in [6]. In order to do this, we consider the distributional point of view of fractional Bessel operators studied in [12].