Kyungpook Mathematical Journal

  • 제45권2호
  • /
  • Pages.255-272
  • /
  • 2005
  • /
  • 1225-6951(pISSN)
  • /
  • 0454-8124(eISSN)
경북대학교 자연과학대학 수학과 (Department of Mathematics, Kyungpook National University)
권호 표지

Weighted LP Estimates for a Rough Maximal Operator

  • Al-Qassem, H.M. (Department of Mathematics, Yarmouk University)
  • 투고 : 2004.03.15
  • 발행 : 2005.06.23
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초록

This paper is concerned with studying the weighted $L^P$ boundedness of a class of maximal operators related to homogeneous singular integrals with rough kernels. We obtain appropriate weighted $L^P$ bounds for such maximal operators. Our results are extensions and improvements of the main theorems in [2] and [5].

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참고문헌

  1. J. Analyse Math. v.47 Average in the plane over convex curves and maximal operators Bourgain, J.
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  5. Acta Mathematica Scientia v.20 no.3 Weighted boundedness of a rough maximal operator Ding, Y.;Qingzheng, H.
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  12. Proc. Sympos. Pure Math., Amer. Math. Soc., Providence, RI v.35 A characterization of $H^{1}$(${\Sogma}_{n-1}$) Ricci, F.;Weiss, G.;Wainger, S.(ed.);Weiss, G.(ed.)
  13. Proc. Nat. Acad. Sci. USA v.73 Maximal functions: spherical means Stein, E.M.
  14. Harmonic analysis real-variable methods, orthogonality and oscillatory integrals Stein, E.M.
  15. Trans. Amer. Math. Soc. v.87 Interpolation of operators with change of measures Stein, E.M.;Weiss, G.