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Sharp Weighted Estimate for Multilinear Singular Integral Operator

Liu Lanzhe
대한수학회 (The Korean Mathematical Society)|2006.07|대한수학회논문집 (Communications of the KMS)|제21권 제3호|pp. 451-464

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Abstract

In this paper, a sharp inequality for some multilinear singularintegral operators are obtained. As the applications, we get theweighted L^p(p>1) norm inequalities and Llog L typeestimate for the multilinear operators.

참고문헌 (12)

  1. "A sharp estimate for a multilinear singular integral onR^n", 30, pp.693~ (1981)
  2. "On multilinear singular integral operators onR^n", 72, pp.199~ (1982)
  3. "A BMO estimate for multilinear singular integraloperators" (1986)
  4. "Wavelets, Calderon-Zygmund and multilinear operators" (1997), Cambridge University Press
  5. "Weighted boundedness for a class rough multilinearoperators" (2001)
  6. "Weighted norm inequalities andrelated topics" (1985)
  7. "A variant sharp estimate for multilinear singular integraloperators" (2000)
  8. "Endpoint estimate for commutators of singular integraloperators" (1995)
  9. "Sharp estimates for commutators of singular integrals via iterations of theHardy-Littlewood maximal function" (1997)
  10. "Sharp weighted endpoint estimates for commutators of singular integraloperators" (2001)
  11. "Sharp weighted estimates for multilinear commutators" (2002)
  12. "Harmonic Analysis: real variable methods" (1993)

관련 논문AI추천

Endpoint estimates for multilinear integral operatorsLiu Lanzhe대한수학회 · 대한수학회지2007 · 제44권 제3호Weighted continuity of multilinear Marcinkiewicz operators for the extreme cases of $p$Liu Lanzhe대한수학회 · 대한수학회논문집2004 · 제19권 제3호Weighted Lp Estimates for a Rough Maximal OperatorH. M. Al-Qassem경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2005 · 제45권 제2호Lipschitz Estimates for Multilinear Singular Integral Operators on Hardy and Herz Type SpacesLiu Lanzhe경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2007 · 제47권 제2호Weighted estimates for rough parametric Marcinkiewicz integralsHussain Mohammed Al-Qassem대한수학회 · 대한수학회지2007 · 제44권 제6호Weighted endpoint Inequalities for Multilinear Marcinkiewicz Integral OperatorLanzhe Liu, Yu Wenxin대한수학회 · 대한수학회보2008 · 제45권 제1호

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