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Year 2020, Volume: 49 Issue: 1, 78 - 86, 06.02.2020
https://doi.org/10.15672/HJMS.2018.654

Abstract

References

  • [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

Year 2020, Volume: 49 Issue: 1, 78 - 86, 06.02.2020
https://doi.org/10.15672/HJMS.2018.654

Abstract

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.

References

  • [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.
There are 13 citations in total.

Details

Primary Language English
Subjects Mathematical Sciences
Journal Section Mathematics
Authors

Hamid Vaezi 0000-0001-7797-512X

Sima Houdfar This is me 0000-0001-9820-1369

Publication Date February 6, 2020
Published in Issue Year 2020 Volume: 49 Issue: 1

Cite

APA Vaezi, H., & Houdfar, S. (2020). Weighted composition operators between Besov-type spaces. Hacettepe Journal of Mathematics and Statistics, 49(1), 78-86. https://doi.org/10.15672/HJMS.2018.654
AMA Vaezi H, Houdfar S. Weighted composition operators between Besov-type spaces. Hacettepe Journal of Mathematics and Statistics. February 2020;49(1):78-86. doi:10.15672/HJMS.2018.654
Chicago Vaezi, Hamid, and Sima Houdfar. “Weighted Composition Operators Between Besov-Type Spaces”. Hacettepe Journal of Mathematics and Statistics 49, no. 1 (February 2020): 78-86. https://doi.org/10.15672/HJMS.2018.654.
EndNote Vaezi H, Houdfar S (February 1, 2020) Weighted composition operators between Besov-type spaces. Hacettepe Journal of Mathematics and Statistics 49 1 78–86.
IEEE H. Vaezi and S. Houdfar, “Weighted composition operators between Besov-type spaces”, Hacettepe Journal of Mathematics and Statistics, vol. 49, no. 1, pp. 78–86, 2020, doi: 10.15672/HJMS.2018.654.
ISNAD Vaezi, Hamid - Houdfar, Sima. “Weighted Composition Operators Between Besov-Type Spaces”. Hacettepe Journal of Mathematics and Statistics 49/1 (February 2020), 78-86. https://doi.org/10.15672/HJMS.2018.654.
JAMA Vaezi H, Houdfar S. Weighted composition operators between Besov-type spaces. Hacettepe Journal of Mathematics and Statistics. 2020;49:78–86.
MLA Vaezi, Hamid and Sima Houdfar. “Weighted Composition Operators Between Besov-Type Spaces”. Hacettepe Journal of Mathematics and Statistics, vol. 49, no. 1, 2020, pp. 78-86, doi:10.15672/HJMS.2018.654.
Vancouver Vaezi H, Houdfar S. Weighted composition operators between Besov-type spaces. Hacettepe Journal of Mathematics and Statistics. 2020;49(1):78-86.