IDEAS home Printed from https://ideas.repec.org/h/spr/sprchp/978-3-0348-0382-3_24.html
   My bibliography  Save this book chapter

Measure and Integration: The basic extension theorems

In: Measure and Integration

Author

Listed:
  • Heinz König

    (Universität des Saarlandes, Fakultät für Mathematik und Informatik)

Abstract

The present article returns to the new foundations of measure and integration due to the author. In this development the basic extension procedures lead from the so-called outer and inner premeasures to their unique maximal extensions. The initial version was for extended real valued set functions. In the sequel we want to achieve a major simplification, in that we develop the procedures—with no loss in the essentials—in the traditional frame of nonnegative set functions. The final section then will obtain an important extension theorem in the inner theories.

Suggested Citation

  • Heinz König, 2012. "Measure and Integration: The basic extension theorems," Springer Books, in: Measure and Integration, edition 127, pages 479-496, Springer.
    • Handle: RePEc:spr:sprchp:978-3-0348-0382-3_24
    DOI: 10.1007/978-3-0348-0382-3_24
    as

    Download full text from publisher

    To our knowledge, this item is not available for download. To find whether it is available, there are three options:
    1. Check below whether another version of this item is available online.
    2. Check on the provider's web page whether it is in fact available.
    3. Perform a
    for a similarly titled item that would be available.

    More about this item

    Keywords

    ;
    ;
    ;
    ;

    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:spr:sprchp:978-3-0348-0382-3_24. 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: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.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.