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A class of generalized Calderón-Zygmund operators are bounded commutators

Author: SunJie
Tutor: ZhangZuo
School: Heilongjiang University
Course: Basic mathematics
Keywords: generalized Calderón-Zygmund operator commutators multilinear commutators Lipschitz function weighted Hardy type space BMO functions A_p weight
CLC: O177
Type: Master's thesis
Year: 2011
Downloads: 15
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Abstract


This thesis contains four chapters, we mainly discuss the boundedness for commutators generated by the Lipschitz function and the generalized Calderon-Zygmund operator and weighted estimates for the multilinear commutators of the generalized Calderon-Zygmund operator.In Chapter 1, we introduce the definition, notation and development of the generalized Calderon-Zygmund operator and its commutators, and put forward the questions to be studied. In Chapter 2, we study the the boundedness for commutators generated by the Lipschitz function and the generalized Calderon-Zygmund operator on the weighted Hardy type spaces. In Chapter 3, We prove that the commutators generated by weighted Lipschitz function and the generalized Calderon-Zygmund operator is bounded from Lp(w) to Lq(w1-q) and from Ln/β(w) to BMO(w). In Chapter 4, we give the weighted (p,p) boundedness and weighted weak type estimates for the multilinear commutators of the generalized Calderon-Zygmund operator.

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CLC: > Mathematical sciences and chemical > Mathematics > Mathematical Analysis > Functional Analysis
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