Journals / Hacettepe Journal of Mathematics and Statistics / 2020 / Cilt: 49 - Sayı: 1

Weighted composition operators between Besov-type spaces

Pages
78–86
Publication Date
2020-02-06
DOI
—
🏛️Bibliographic metadata and full text access for this article are provided via DergiPark.
DergiPark Record ↗
✨

AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

Also, we give a Carleson measure characterization of weighted composition operators on Besov spaces.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this paper, we study the boundedness and the compactness of weighted composition operators between Besov-type spaces.
📊
Key Findings & Data:In this paper, we study the boundedness and the compactness of weighted composition operators between Besov-type spaces.
💡
Conclusion & Impact:Also, we give a Carleson measure characterization of weighted composition operators on Besov spaces.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:(Weighted) composition operator · Besov-type space · Carleson measure

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.

🔖

Cite This Article

VAEZİ, H., HOUDFAR, S. (2020). Weighted composition operators between Besov-type spaces. Hacettepe Journal of Mathematics and Statistics, Cilt: 49 - Sayı: 1, 78–86. https://ajindex.com/articles/669295

📄 Full Text PDF Viewer

📄

PDF görüntüleyici hazırlanıyor...

References (13)

  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.