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Weighted Lp Estimates for a Rough Maximal Operator

H. M. Al-Qassem
경북대학교 자연과학대학 수학과|2005.06|Kyungpook Mathematical Journal|제45권 제2호|pp. 255-272

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참고문헌

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초록

Abstract

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

참고문헌 (10)

  1. "Average in the plane over convex curves and maximal operators", 47, pp.69~85 (1986)
  2. "A maximal operator related to a class of singular integrals", 34, pp.120~126 (1990)
  3. "Extension of Hardy spaces and their use in analysis", 83, pp.569~645 (1977)
  4. "Maximal functions and singular inte-gral operators via Fourier transform estimates", 84, pp.541~561 (1986)
  5. "Weighted norm inequalities for homogeneous singular integrals", 336, pp.869~880 (1993)
  6. "Spherical means and weighted inequalities", 53, pp.343~353 (1996)
  7. D. Fan, "A singular integral operator with rough kernel", 125, pp.3695~3703 (1997)
  8. "Littlewood-Paley and multiplier theorems on weightedLp spaces", 259, pp.235~254 (1980)
  9. "A characterization of H1", pp.289~294
  10. "Interpolation of operators with change of measures", pp.159~172 (1958)

관련 논문AI추천

Lp ESTIMATES FOR A ROUGH MAXIMALOPERATOR ON PRODUCT SPACESHussain Mohammed Al-Qassem대한수학회 · 대한수학회지2005 · 제42권 제3호Weighted estimates for rough parametric Marcinkiewicz integralsHussain Mohammed Al-Qassem대한수학회 · 대한수학회지2007 · 제44권 제6호Sharp Weighted Estimate for Multilinear Singular Integral OperatorLiu Lanzhe대한수학회 · 대한수학회논문집2006 · 제21권 제3호Weighted Boundedness for the Function of MarcinkiewiczHussain M. Al-Qassem경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2006 · 제46권 제1호Endpoint Estimates for Maximal Commutators inNon-homogeneous SpacesDachun Yang, Guoen Hu, Yan Meng대한수학회 · 대한수학회지2007 · 제44권 제4호Weighted continuity of multilinear Marcinkiewicz operators for the extreme cases of $p$Liu Lanzhe대한수학회 · 대한수학회논문집2004 · 제19권 제3호

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