Weighted composition operators betweenBesov-type spaces

Yayın Aralığı: Yılda 6 Sayı
Başlangıç: 2002
Yayıncı: Hacettepe Üniversitesi Fen Fakultesi

In this paper, we study the boundedness and the compactness of weighted compositionoperators between Besov-type spaces. Also, we give a Carleson measure characterizationof weighted composition operators on Besov spaces.

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[1]J. Arazy, S.D. Fisher and J. Peetre,Mobius invariant function spaces, J. Reine Angew.Math.363, 110–145, 1985.
[2]D. Blasi and J. Pav,A Characterization of Besov type spaces and applications toHankel-type operators, Michigan Math. J.56, 401–418, 2008.
[3]F. Colonna and S. Li,Weighted Composition Operators from the Besov spaces intothe Bloch space, Bull. Malays. Math. Sci. Soc.36, 1027–1039, 2013.
[4]F. Colonna and M. Tjani,Weighted Composition Operators from the Besov spacesinto the weighted type spaceH∞μ, J. Math. Anal. Appl.402, 594–611, 2013.
[5]F. Colonna and M. Tjani,Weighted Composition Operators from the analytic Besovspaces to BMOA, Oper. Theory Adv. Appl.236, 133–157, 2014.
[6]M.D. Contreras and A.G. Hernandez-Diaz,Weighted composition operators on Hardyspaces, J. Math. Anal. Appl.263, 224–233, 2001.
[7]C.C. Cowen and B.D. MacCluer,Composition operators on spaces of analytic func-tions, CRC Press, Boca Raton, New York, 1995.
[8]P.R. Halmos,Measure Theory, Grad. Texts in Math., 18, Springer-Verlag, New York,1974.
[9]M. Hassanlou, J. Laitila and H. Vaezi,Weighted composition operators between weakspaces of vector-valued analytic functions, Analysis,37, 39–45, 2017.
[10]M. Hassanlou, H. Vaezi and M. Wang,Weighted composition operators on weak vector-valued Bergman spaces and Hardy spaces, Banach J. Math. Anal.9(2), 35–43, 2015.
[11]J.H. Shapiro,Composition operators and classical function theory, Berlin, Germany,Springer- Verlag, 1993.
[12]M. Tjani,Compact composition operators on Besov space, Trans. Amer. Math. Soc.355(11), 4683–4698, 2003.
[13]W. Yang,Weighted composition operators from Bloch-type spaces to weighted-typespaces, Ars. Combin.92, 415–423, 2009.