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Demonstrates the duality of weighted product Hardy spaces and characterizes them using wavelet analysis, suggesting new insights into functional spaces.
本文首先通过建立几乎对角算子在离散型加权乘积 Triebel-Lizorkin 空间 ḟp,w0,2(R) 上的有界性, 其中 R 表示 Rn₁ × Rn₂ 上所有二进矩形构成的集合, 并结合乘积小波再生公式来建立欧氏空间上加权乘积 Hardy 空间 Hwᵖ(Rn₁ × Rn₂) 的小波刻画; 其次, 基于此小波刻画, 利用序列空间的提升和投影方法证明加权乘积 Carleson 测度空间 CMOwᵖ(Rn₁ × Rn₂) 是加权乘积 Hardy 空间 Hwᵖ(Rn₁ × Rn₂) 的对偶空间.
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Zheng et al. (2026) studied this question.
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