• Title of article

    Rough oscillatory singular integral operators of nonconvolution type

  • Author/Authors

    Ahmad Al-Salman، نويسنده ,

  • Issue Information
    دوهفته نامه با شماره پیاپی سال 2004
  • Pages
    17
  • From page
    72
  • To page
    88
  • Abstract
    In this paper, we study a classes of oscillatory singular integral operators of nonconvolution type with phases more general than polynomials. We prove that such operators are bounded on Lp provided their kernels satisfy a very weak condition. In addition, we also study the related truncated oscillatory singular integral operators. Moreover, we present a class of unbounded oscillatory singular integral operators.  2004 Elsevier Inc. All rights reserved.
  • Keywords
    Block spaces , Truncated maximal oscillatory singular integrals , Oscillatory singular integral operators , Rough kernels , Lp estimates , Hardy–Littlewood maximalfunction
  • Journal title
    Journal of Mathematical Analysis and Applications
  • Serial Year
    2004
  • Journal title
    Journal of Mathematical Analysis and Applications
  • Record number

    931500