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Closed range weighted composition operators between lp-spaces

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Języki publikacji
EN
Abstrakty
EN
We characterize the closedness of ranges of weighted composition operators between Lp-spaces, where 1 <≤ p ≤ ∞. When the Lp-spaces are weighted sequence spaces, several corollaries about this class of operators are also deduced.
Rocznik
Strony
649--665
Opis fizyczny
BIbliogr. 14 poz.
Twórcy
autor
  • Division of Science, Engineering and Health Studies College of Professional and Continuing Education The Hong Kong Polytechnic University
  • Division of Science, Engineering and Health Studies College of Professional and Continuing Education The Hong Kong Polytechnic University
Bibliografia
  • [1] J.T. Campbell, J.E. Jamison, On some classes of weighted composition operators, Glasgow Math. J. 32 (1990), 87-94.
  • [2] J.B. Conway, A Course in Functional Analysis, 2nd ed., Graduate Texts in Mathematics, vol. 96, Springer-Verlag, New York, 1990.
  • [3] T. Hoover, A. Lambert, J. Quinn, The Markov process determined by a weighted composition operator, Studia Math. 72 (1982), 225-235.
  • [4] M.R. Jabbarzadeh, Weighted composition operators between Lp-spaces, Bull. Korean Math. Soc. 42 (2005), 369-378.
  • [5] M.R. Jabbarzadeh, E. Pourreza, A note on weighted composition operators on Lp-spaces, Bull. Iranian Math. Soc. 29 (2003), 47-54.
  • [6] R. Kumar, Weighted composition operators between two Lp -spaces, Mat. Vesnik 61 (2009), 111-118.
  • [7] C.O. Lo, Compact-type weighted composition operators between Lp -spaces, Banach J. Math. Anal. 14 (2020), 1421-1442.
  • [8] C.O. Lo, A.W.K. Loh, Fredholm weighted composition operators, Oper. Matrices 13 (2019), 169-186.
  • [9] C.O. Lo, A.W.K. Loh, Compact weighted composition operators between Lp -spaces, Bull. Aust. Math. Soc. 102 (2020), 151-161.
  • [10] R.K. Singh, N.S. Dharmadhikari, Compact and Fredholm composite multiplication operators, Acta Sci. Math. (Szeged) 52 (1988), 437-441.
  • [11] R.K. Singh, A. Kumar, Multiplication operators and composition operators with closed ranges, Bull. Aust. Math. Soc. 16 (1977), 247-252.
  • [12] H. Takagi, Compact weighted composition operators on Lp, Proc. Amer. Math. Soc. 116 (1992), 505-511.
  • [13] H. Takagi, K. Yokouchi, Composition operators between Lp -spaces, The structure of spaces of analytic and harmonic functions and the theory of operators on them, Kyoto Univ. Res. Inst. Math. Sci. Kokyuroku 946 (1996), 18-24 [in Japanese].
  • [14] H. Takagi, K. Yokouchi, Multiplication and composition operators between two Lp -spaces, Function spaces (Edwardsville, IL, 1998), Contemp. Math., 232, Amer. Math. Soc., Providence, RI, 1999, 321-338.
Uwagi
Opracowanie rekordu ze środków MNiSW, umowa Nr 461252 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2021).
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-18e862e1-d7b4-4e55-9b6a-3f00688bcf4c
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