Yıl 2020,
Cilt: 49 Sayı: 1, 78 - 86, 06.02.2020
Hamid Vaezi
,
Sima Houdfar
Kaynakça
- [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 to
Hankel-type operators, Michigan Math. J. 56, 401–418, 2008.
- [3] F. Colonna and S. Li, Weighted Composition Operators from the Besov spaces into
the Bloch space, Bull. Malays. Math. Sci. Soc. 36, 1027–1039, 2013.
- [4] F. Colonna and M. Tjani, Weighted Composition Operators from the Besov spaces
into the weighted type space $H_{\mu}^\infty$, J. Math. Anal. Appl. 402, 594–611, 2013.
- [5] F. Colonna and M. Tjani, Weighted Composition Operators from the analytic Besov
spaces to BMOA , Oper. Theory Adv. Appl. 236, 133–157, 2014.
- [6] M.D. Contreras and A.G. Hernandez-Diaz, Weighted composition operators on Hardy
spaces, 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 weak
spaces 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-type
spaces, Ars. Combin. 92, 415–423, 2009.
Weighted composition operators between Besov-type spaces
Yıl 2020,
Cilt: 49 Sayı: 1, 78 - 86, 06.02.2020
Hamid Vaezi
,
Sima Houdfar
Öz
In this paper, we study the boundedness and the compactness of weighted composition operators between Besov-type spaces. Also, we give a Carleson measure characterization of weighted composition operators on Besov spaces.
Kaynakça
- [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 to
Hankel-type operators, Michigan Math. J. 56, 401–418, 2008.
- [3] F. Colonna and S. Li, Weighted Composition Operators from the Besov spaces into
the Bloch space, Bull. Malays. Math. Sci. Soc. 36, 1027–1039, 2013.
- [4] F. Colonna and M. Tjani, Weighted Composition Operators from the Besov spaces
into the weighted type space $H_{\mu}^\infty$, J. Math. Anal. Appl. 402, 594–611, 2013.
- [5] F. Colonna and M. Tjani, Weighted Composition Operators from the analytic Besov
spaces to BMOA , Oper. Theory Adv. Appl. 236, 133–157, 2014.
- [6] M.D. Contreras and A.G. Hernandez-Diaz, Weighted composition operators on Hardy
spaces, 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 weak
spaces 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-type
spaces, Ars. Combin. 92, 415–423, 2009.