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Liouville theorems for the multidimensional fractional Bessel operators

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In this paper, we establish Liouville type theorems for the fractional powers of multidimensional Bessel operators extending the results given in \cite{GMQ18}. In order to do this, we consider the distributional point of view of fractional Bessel operators studied in \cite{Mo18}.

Abstract

In this paper, we establish Liouville type theorems for the fractional powers of multidimensional Bessel operators extending the results given in \cite{GMQ18}. In order to do this, we consider the distributional point of view of fractional Bessel operators studied in \cite{Mo18}.

참고문헌 (18)

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  11. S. Molina, "A generalization of the spaces Hμ, H'μ and the space of multipliers", Proceedings of the Seventh "Dr. Antonio A. R. Monteiro" Congress of Mathematics (Spanish), pp.49~56 (2003), Univ. Nac. del Sur, Bahía Blanca
  12. Sandra Monica Molina, "Distributional fractional powers of similar operators with applications to the Bessel operators", 대한수학회논문집, 33(4), pp.1249~1269 (2018), 대한수학회
  13. Sandra Molina, "<i>n<", i>-Dimensional Hankel transform and complex powers of Bessel operator, 2007, pp.18(12), 897~911[DOI]
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  18. R. Zhuo, "A Liouville theorem for the fractional Laplacian", arXiv:1401.7402, ~ (2014)

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