• Title of article

    Martingale representation theorem for set-valued martingales

  • Author/Authors

    Kisielewicz، نويسنده , , Micha?، نويسنده ,

  • Issue Information
    دوهفته نامه با شماره پیاپی سال 2014
  • Pages
    8
  • From page
    111
  • To page
    118
  • Abstract
    The present paper contains a martingale representation theorem for set-valued martingales defined on a filtered probability space with a filtration generated by a Brownian motion. It is proved that such type martingales can be defined by some generalized set-valued stochastic integrals with respect to a given Brownian motion. The main result of the paper is preceded by short part devoted to the definition and some properties of generalized set-valued stochastic integrals.
  • Keywords
    Set-valued mappings , Set-valued integrals , Set-valued stochastic processes , Set-valued martingales
  • Journal title
    Journal of Mathematical Analysis and Applications
  • Serial Year
    2014
  • Journal title
    Journal of Mathematical Analysis and Applications
  • Record number

    1563945