IDEAS home Printed from https://ideas.repec.org/a/hin/jijmms/939624.html
   My bibliography  Save this article

On weights which admit the reproducing kernel of Bergman type

Author

Listed:
  • Zbigniew Pasternak-Winiarski

Abstract

In this paper we consider (1) the weights of integration for which the reproducing kernel of the Bergman type can be defined, i.e., the admissible weights, and (2) the kernels defined by such weights. It is verified that the weighted Bergman kernel has the analogous properties as the classical one. We prove several sufficient conditions and necessary and sufficient conditions for a weight to be an admissible weight. We give also an example of a weight which is not of this class. As a positive example we consider the weight μ ( z ) = ( Im z ) 2 defined on the unit disk in ℂ .

Suggested Citation

  • Zbigniew Pasternak-Winiarski, 1992. "On weights which admit the reproducing kernel of Bergman type," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 15, pages 1-14, January.
    • Handle: RePEc:hin:jijmms:939624
    DOI: 10.1155/S0161171292000012
    as

    Download full text from publisher

    File URL: http://downloads.hindawi.com/journals/IJMMS/15/939624.pdf
    Download Restriction: no
    File URL: http://downloads.hindawi.com/journals/IJMMS/15/939624.xml
    Download Restriction: no
    File URL: https://libkey.io/10.1155/S0161171292000012?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:hin:jijmms:939624. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    We have no bibliographic references for this item. You can help adding them by using this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Mohamed Abdelhakeem (email available below). General contact details of provider: https://www.hindawi.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.