Sharp Maximal Function Estimates and Boundedness for Commutator Related to Generalized Fractional Integral Operator
نویسندگان
چکیده
منابع مشابه
Sharp Function Inequalities and Boundness for Toeplitz Type Operator Related to General Fractional Singular Integral Operator
We establish some sharp maximal function inequalities for the Toeplitz type operator, which is related to certain fractional singular integral operator with general kernel. These results are helpful to investigate the boundedness of the operator on Lebesgue, Morrey and Triebel–Lizorkin spaces respectively.
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As the development of singular integral operators, their commutators have been well studied(see [1][3-5][10-12]). Let T be the Calderón-Zygmund singular integral operator. A classical result of Coifman, Rocherberg and Weiss (see [3]) state that commutator [b, T ](f) = T (bf) − bT (f)(where b ∈ BMO(Rn)) is bounded on Lp(Rn) for 1 < p < ∞. In [10-12], the sharp estimates for some multilinear comm...
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ژورنال
عنوان ژورنال: Annals of West University of Timisoara - Mathematics
سال: 2012
ISSN: 1841-3293
DOI: 10.2478/v10324-012-0018-z