Skip to main content

We use cookies to distinguish you from other users and to provide you with a better experience on our websites. Close this message to accept cookies or find out how to manage your cookie settings.

Close cookie message
Cancel
×
×
Home
  • Home
Article
  • Cited by 3
  • Cited by
    Crossref Citations
    Crossref logo
    This article has been cited by the following publications. This list is generated based on data provided by CrossRef.
    Fang, Zhong-Shan and Zhou, Ze-Hua 2017. The Topological Structure of Weighted Composition Operators from Lipschitz Spaces to $$H^{\infty }$$ H ∞ . Bulletin of the Malaysian Mathematical Sciences Society,
    Chen, Cui Chen, Ren-Yu and Zhou, Ze-Hua 2013. Differences of Composition Operators Followed by Differentiation between Weighted Banach Spaces of Holomorphic Functions. Abstract and Applied Analysis, Vol. 2013, Issue. , p. 1.
    Song, Xiao-Jun and Zhou, Ze-Hua 2013. Differences of weighted composition operators from Bloch space to H ∞ on the unit ball. Journal of Mathematical Analysis and Applications, Vol. 401, Issue. 1, p. 447.
    ×
  • Access

DIFFERENCES OF COMPOSITION OPERATORS BETWEEN WEIGHTED BERGMAN SPACES AND WEIGHTED BANACH SPACES OF HOLOMORPHIC FUNCTIONS

  • ELKE WOLF (a1)
Abstract

We characterise boundedness and compactness of differences of composition operators acting between weighted Bergman spaces Av, p and weighted Banach spaces H∞w of holomorphic functions defined on the open unit disk D.

    •
      • Send article to Kindle

      To send this article to your Kindle, first ensure no-reply@cambridge.org is added to your Approved Personal Document E-mail List under your Personal Document Settings on the Manage Your Content and Devices page of your Amazon account. Then enter the ‘name’ part of your Kindle email address below. Find out more about sending to your Kindle. Find out more about sending to your Kindle.

      Note you can select to send to either the @free.kindle.com or @kindle.com variations. ‘@free.kindle.com’ emails are free but can only be sent to your device when it is connected to wi-fi. ‘@kindle.com’ emails can be delivered even when you are not connected to wi-fi, but note that service fees apply.

      Find out more about the Kindle Personal Document Service.

      DIFFERENCES OF COMPOSITION OPERATORS BETWEEN WEIGHTED BERGMAN SPACES AND WEIGHTED BANACH SPACES OF HOLOMORPHIC FUNCTIONS
      Available formats
      ×
      Send article to Dropbox

      To send this article to your Dropbox account, please select one or more formats and confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your <service> account. Find out more about sending content to Dropbox.

      DIFFERENCES OF COMPOSITION OPERATORS BETWEEN WEIGHTED BERGMAN SPACES AND WEIGHTED BANACH SPACES OF HOLOMORPHIC FUNCTIONS
      Available formats
      ×
      Send article to Google Drive

      To send this article to your Google Drive account, please select one or more formats and confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your <service> account. Find out more about sending content to Google Drive.

      DIFFERENCES OF COMPOSITION OPERATORS BETWEEN WEIGHTED BERGMAN SPACES AND WEIGHTED BANACH SPACES OF HOLOMORPHIC FUNCTIONS
      Available formats
      ×
Copyright
COPYRIGHT: © Glasgow Mathematical Journal Trust 2010
References
Hide All
1.Bierstedt, K. D., Bonet, J. and Taskinen, J., Associated weights and spaces of holomorphic functions, Studia Math. 127 (1998), 137–168.
2.Bonet, J., Domański, P. and Lindström, M., Essential norm and weak compactness of composition operators on weighted Banach spaces of analytic functions, Canad. Math. Bull. 42 (2) (1999), 139–148.
3.Bonet, J., Domański, P., Lindström, M. and Taskinen, J., Composition operators between weighted Banach spaces of analytic functions, J. Aust. Math. Soc. (Serie A) 64 (1998), 101–118.
4.Bonet, J., Friz, M. and Jordá, E., Composition operators between weighted inductive limits of spaces of holomorphic functions, Publ. Math. 67 (3-4) (2005), 333–348.
5.Bonet, J., Lindström, M. and Wolf, E., Differences of composition operators between weighted Banach spaces of holomorphic functions, J. Aust. Math. Soc. 84 (1) (2008), 9–20.
6.Contreras, M. D. and Hernández-Díaz, A. G., Weighted composition operators in weighted Banach spaces of analytic functions, J. Aust. Math. Soc. (Serie A) 69 (2000), 41–60.
7.Cowen, C. and MacCluer, B., Composition operators on spaces of analytic functions (CRC Press, Baca Raton, FL, 1995).
8.Domański, P. and Lindström, M., Sets of interpolation and sampling for weighted Banach spaces of holomorphic functions, Ann. Pol. Math. 79 (2002) 233–264.
9.Duren, P. and Schuster, A., Bergman spaces, mathematical surveys and monographs 100 (American Mathematical Society, Providence, RI, 2004).
10.Hedenmalm, H., Korenblum, B. and Zhu, K., Theory of Bergman Spaces, Graduate Texts in Mathematics 199 (Springer-Verlag, New York, 2000).
11.Lindström, M. and Wolf, E., Essential norm of the difference of weighted composition operators, Monatsh. Math. 153 (2008), 133–143.
12.Lusky, W., On weighted spaces of harmonic and holomorphic functions, J. Lond. Math. Soc. 51 (1995), 309–320.
13.Moorhouse, J., Compact differences of composition operators, J. Funct. Anal. 219 (2005), 70–92.
14.Nieminen, P., Compact differences of composition operators on Bloch and Lipschitz spaces, to appear in Comput. Methods Funct. Theory.
15.Shapiro, J. H., Composition operators and classical function theory (Springer, New York, 1993).
Recommend this journal

Email your librarian or administrator to recommend adding this journal to your organisation's collection.

Glasgow Mathematical Journal
  • ISSN: 0017-0895
  • EISSN: 1469-509X
  • URL: /core/journals/glasgow-mathematical-journal
Please enter your name
Please enter a valid email address
Who would you like to send this to? *

CAPTCHA *

Skip to the audio challenge
×

Keywords:

Metrics

Full text views

Total number of HTML views: 0
Total number of PDF views: 31 *
Loading metrics...

Abstract views

Total abstract views: 55 *
Loading metrics...

* Views captured on Cambridge Core between September 2016 - 13th June 2018. This data will be updated every 24 hours.

Cancel
Confirm
×