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Duals of Hardy Amalgam Spaces and Norm Inequalities
Analysis Mathematica ( IF 0.6 ) Pub Date : 2019-12-01 , DOI: 10.1007/s10476-019-0001-6 Z. V. P. Ablé , J. Feuto
Analysis Mathematica ( IF 0.6 ) Pub Date : 2019-12-01 , DOI: 10.1007/s10476-019-0001-6 Z. V. P. Ablé , J. Feuto
We characterize the dual spaces of the generalized Hardy spaces defined by replacing Lebesgue quasi-norms by Wiener amalgam ones. In these generalized Hardy spaces we prove that some classical linear operators such as Calderon–Zygmund, convolution and Riesz potential operators are bounded.
中文翻译:
Hardy 汞齐空间和范数不等式的对偶
我们通过用 Wiener 汞齐范数替换 Lebesgue 拟范数来定义广义哈代空间的对偶空间。在这些广义 Hardy 空间中,我们证明了一些经典的线性算子,如 Calderon-Zygmund、卷积和 Riesz 势算子是有界的。
更新日期:2019-12-01
中文翻译:
Hardy 汞齐空间和范数不等式的对偶
我们通过用 Wiener 汞齐范数替换 Lebesgue 拟范数来定义广义哈代空间的对偶空间。在这些广义 Hardy 空间中,我们证明了一些经典的线性算子,如 Calderon-Zygmund、卷积和 Riesz 势算子是有界的。