Estimates of bilinear pseudodifferential operators associated to bilinear Hörmander classes in Besov and Triebel–Lizorkin spaces with variable exponents

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作者
Jingshi Xu
Jinlai Zhu
机构
[1] Hainan Normal University,School of Mathematics and Statistics
关键词
Variable exponent; Triebel–Lizorkin space; Besov space; Bilinear pseudodifferential operator; 47G30; 46E35; 42B25; 42B35;
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摘要
In this paper, we give Leibniz-type estimates of bilinear pseudodifferential operators associated to bilinear Hörmander classes in Besov and Triebel–Lizorkin spaces with variable exponents. To obtain the estimate for Triebel–Lizorkin spaces with variable exponents, we present their approximation characterization.
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