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Slice regular Besov spaces of hyperholomorphic functions and composition operators

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In this paper, we investigate some basic results on the slice regular Besov spaces of hyperholomorphic functions on the unit ball $\mathbb{B}.$ We also characterize the boundedness, compactness and find the essential norm estimates for composition operators between these spaces.

Abstract

In this paper, we investigate some basic results on the slice regular Besov spaces of hyperholomorphic functions on the unit ball $\mathbb{B}.$ We also characterize the boundedness, compactness and find the essential norm estimates for composition operators between these spaces.

참고문헌 (17)

  1. D. Alpay, "Operator Theory: Advances and Applications", pp.2016, Birkh¨auser
  2. J. Arazy, "M¨obius invariant function spaces", J. Reine Angew. Math, 363, pp.110~145 (1985)[DOI]
  3. N. Arcozzi, "Carleson measures for analytic Besov spaces", Rev. Mat. Iberoamericana, 18(2), pp.443~510 (2002)[DOI]
  4. Nicola Arcozzi, "From Hankel Operators to Carleson Measures in a Quaternionic Variable", Proceedings of the Edinburgh Mathematical Society, 60(3), pp.565~585 (2017), Cambridge University Press (CUP)[DOI]
  5. C. Marco Polo Castillo Villalba, "Bloch, Besov and Dirichlet Spaces of Slice Hyperholomorphic Functions", Complex Analysis and Operator Theory, 9(2), pp.479~517 (2015), Springer Science and Business Media LLC[DOI]
  6. F. Colombo, "Noncommutative functional calculus", pp.2011, Birkh¨auser
  7. F. Colombo, "Springer Briefs in Mathematics", pp.1007~ (2016), Springer
  8. C. C. Cowen, "Studies in Advanced Mathematics" (1995), CRC Press
  9. J. Gantner, "BMO- and VMO-spaces of slice hyperholomorphic functions", Math. Nachr, 290(14-15), pp.2259~2279 (2017)[DOI]
  10. G. Gentil, "Springer Monographs in Mathematics" (2013), Springer
  11. Pan Lian, "Weighted composition operator on quaternionic Fock space", Banach Journal of Mathematical Analysis, 15(1) (2021), Springer Science and Business Media LLC[DOI]
  12. Guangbin Ren, "Slice regular composition operators", Complex Variables and Elliptic Equations, 61(5), pp.682~711 (2015), Informa UK Limited[DOI]
  13. Irene Sabadini, "Carleson measures for Hardy and Bergman spaces in the quaternionic unit ball", Journal of the London Mathematical Society, 95(3), pp.853~874 (2017), Wiley[DOI]
  14. J. H. Shapiro, "Universitext: Tracts in Mathematics" (1993), Springer-Verlag
  15. M. Tjani, "Compact composition operators on some Moebius invariant Banach spaces" (1996), ProQuest LLC
  16. M. Tjani, "Compact composition operators on Besov spaces", Trans. Amer. Math. Soc, 355(11) (2003)[DOI]
  17. K. H. Zhu, "Operator theory in function spaces" (1990), Marcel Dekker, Inc

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