• Title of article

    Bounds for the -spectra of self-similar measures without any separation conditions

  • Author/Authors

    Li، نويسنده , , Jinjun and Olsen، نويسنده , , Lars and Wu، نويسنده , , Min، نويسنده ,

  • Issue Information
    دوهفته نامه با شماره پیاپی سال 2012
  • Pages
    13
  • From page
    77
  • To page
    89
  • Abstract
    In this paper we obtain non-trivial bounds for the L q -spectra of self-similar measures without any separation conditions for q ⩽ 1 . As an application we obtain non-trivial upper bounds for the multifractal spectra of arbitrary self-similar measure without any separation conditions. Some examples illustrating our results are also discussed.
  • Keywords
    Self-similar measure , L q -spectra
  • Journal title
    Journal of Mathematical Analysis and Applications
  • Serial Year
    2012
  • Journal title
    Journal of Mathematical Analysis and Applications
  • Record number

    1562393