| ON MULTILINEAR COMMUTATORS OF Θ-TYPE CALDERóN-ZYGMUND OPERATORS |
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| 基金项目： | NSF of Anhui Province (No.07021019);;Education Committee of Anhui Province (No.KJ2007A009);;NSF of Chaohu College(No. XLY-200823) |
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| 摘 要： | In this paper, we discuss the multilinear commutator of θ-type Calderón- Zygmund operators, and obtain that this kind of multilinear commutators is bounded from Lp(Rn) to Lq(Rn), from Lp(Rn) to Triebel-Lizorkin spaces and on certain Hardy type spaces.
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| 关 键 词： | multilinear commutator θ-type Calderón-Zygmund operator Triebel- Lizorkin space Hardy space |
On multilinear commutators of Θ-type Calderón-Zygmund operators |
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| Authors: | Rulong Xie Lisheng Shu |
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| Institution: | (1) Department of Mathematics, Chaohu College, Chaohu, 238000, P. R. China;(2) Department of Mathematics, Anhui Normal University, Wuhu, 241000, P. R. China |
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| Abstract: | In this paper, we discuss the multilinear commutator of θ-type Calderón-Zygmund operators, and obtain that this kind of multilinear commutators is bounded from L
p
(ℝ
n
) to L
q
(ℝ
n
), from L
p
(ℝ
n
) to Triebel-Lizorkin spaces and on certain Hardy type spaces.
Supported by NSF of Anhui Province (No.07021019), Education Committee of Anhui Province (No.KJ2007A009) and NSF of Chaohu
College(No. XLY-200823). |
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| Keywords: | multilinear commutator θ -type Calderón-Zygmund operator Triebel-Lizorkin space Hardy space |
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