Tbilisi Mathematical Journal

Weighted composition operators from Nevanlinna type spaces to weighted Bloch type spaces

Ajay K. Sharma, Ram Krishan, and Elina Subhadarsini

Full-text: Access denied (no subscription detected)

We're sorry, but we are unable to provide you with the full text of this article because we are not able to identify you as a subscriber. If you have a personal subscription to this journal, then please login. If you are already logged in, then you may need to update your profile to register your subscription. Read more about accessing full-text

Abstract

In this paper, we characterize metrically compact weighted composition operators from Nevanlinna type spaces to weighted Bloch type spaces.

Article information

Source
Tbilisi Math. J., Volume 8, Issue 2 (2015), 315-323.

Dates
Received: 27 April 2014
Accepted: 25 October 2015
First available in Project Euclid: 12 June 2018

Permanent link to this document
https://projecteuclid.org/euclid.tbilisi/1528769024

Digital Object Identifier
doi:10.1515/tmj-2015-0029

Mathematical Reviews number (MathSciNet)
MR3441144

Zentralblatt MATH identifier
1337.47038

Subjects
Primary: 47B33: Composition operators
Secondary: 30H15: Nevanlinna class and Smirnov class 30H30: Bloch spaces

Keywords
Weighted composition operator boundedness with respect to metric balls metrical compactness Nevanlinna type spaces weighted Bloch type spaces

Citation

Sharma, Ajay K.; Krishan, Ram; Subhadarsini, Elina. Weighted composition operators from Nevanlinna type spaces to weighted Bloch type spaces. Tbilisi Math. J. 8 (2015), no. 2, 315--323. doi:10.1515/tmj-2015-0029. https://projecteuclid.org/euclid.tbilisi/1528769024


Export citation

References

  • J.S. Choa and H.O. Kim, Composition operators between the Nevanlinna-type spaces, J. Math. Anal. Appl. 257 (2001), 378–402.
  • J.S. Choa, H.O. Kim and J.H. Shapiro, Compact composition operators on the Smirnov class, Proc. Amer. Math. Soc. 128 (2000), 2297–2308.
  • B.R. Choe, H. Koo and W. Smith, Carleson measures for the area Nevanlinna spaces and applications, J. Anal. Math. 104 (2008), 207–233.
  • C.C. Cowen and B. D. MacCluer, Composition operators on spaces of analytic functions, CRC press, Boca Raton, New York, 1995.
  • J.B. Garnett, Bounded Analytic Functions, Academic Press, New York, 1981.
  • H.O. Kim, On an $F$-algebra of holomorphic functions, Can. J. Math. 40 (1988), 718–741.
  • K. Madigan and A. Matheson, Compact composition operators on the Bloch space, Trans. Amer. Math. Soc. 347 (1995), 2679–2687.
  • A.K. Sharma, Products of multiplication, composition and differentiation operators between weighted Bergman-Nevanlinna and Bloch-type spaces, Turkish J. Math. 35 (2011), 275–291.
  • A.K. Sharma, Weighted composition operators from Cauchy integral transforms to logarithmic weighted-type spaces. Ann. Funct. Anal. 4 (2013), 163-174.
  • A.K. Sharma and S. Ueki, Composition operators from Nevanlinna type spaces to Bloch type spaces, Banach J. Math. Anal., 6 (2012), 112–123.
  • S. Stević, Weighted differentiation composition operators from $H^{\infty}$ and Bloch spaces to $n$th weighted-type spaces on the unit disk, Appl. Math. Comput. 216 (2010), 3634–3641.
  • S. Stević, Weighted composition operators from Bergman-Privalov-type spaces to weighted-type spaces on the unit ball, Appl. Math. Comput. 217 (2010), 1939–1943.
  • S. Stević and A.K. Sharma, Composition operators from Bergman Privalov spaces to Zygmund spaces, Ann. Polon. Math. 105 (2012), 77–86.
  • N. Yanagihara, Bounded subsets of some spaces of holomorphic functions, Sci. Papers College Gen. Ed. Univ. Tokyo 23 (1973), 19–28.