• 제목/요약/키워드: Bounded

검색결과 2,231건 처리시간 0.024초

ABSOLUTE CONTINUITY OF FUNCTIONS OF ${\phi}{\Lambda}BV$

  • Kim Hwa-Jun
    • Journal of applied mathematics & informatics
    • /
    • 제22권1_2호
    • /
    • pp.557-562
    • /
    • 2006
  • We consider the relationship between absolute continuity for functions of a real variable and absolute continuity of functions of generalized bounded variation. Here, we obtain necessary and sufficient conditions between these two functions.

GENERALIZED BOUNDED ANALYTIC FUNCTIONS IN THE SPACE Hω,p

  • Lee, Jun-Rak
    • Korean Journal of Mathematics
    • /
    • 제13권2호
    • /
    • pp.193-202
    • /
    • 2005
  • We define a general space $H_{{\omega},p}$ of the Hardy space and improve that Aleman's results to the space $H_{{\omega},p}$. It follows that the multiplication operator on this space is cellular indecomposable and that each invariant subspace contains nontrivial bounded functions.

  • PDF

ON DENJOY*-STIELTJES INTEGRAL

  • Oh, Mee Na;Park, Chun-Kee
    • Korean Journal of Mathematics
    • /
    • 제16권4호
    • /
    • pp.499-509
    • /
    • 2008
  • In this paper we introduce the concepts of the generalized bounded variation in the restricted sense with respect to a strictly increasing function and $Denjoy_*$-Stieltjes integral of real-valued functions and investigate their properties.

  • PDF