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Variation type characterization of product Hardy spaces
Analysis and Mathematical Physics ( IF 1.7 ) Pub Date : 2024-02-06 , DOI: 10.1007/s13324-024-00869-3 Laura Angeloni , Elijah Liflyand , Gianluca Vinti
中文翻译:
产品 Hardy 空间的变异类型表征
更新日期:2024-02-08
Analysis and Mathematical Physics ( IF 1.7 ) Pub Date : 2024-02-06 , DOI: 10.1007/s13324-024-00869-3 Laura Angeloni , Elijah Liflyand , Gianluca Vinti
Abstract
In the multidimensional Euclidean space, except the classical real Hardy space, there are numerous product ones. We associate with each of them a class of functions related to the known variations and new ones. Such a characterization is fulfilled by means of the integrability of the Fourier transform
中文翻译:
产品 Hardy 空间的变异类型表征
摘要
在多维欧几里得空间中,除了经典的实哈代空间外,还有无数的乘积空间。我们将它们与一类与已知变体和新变体相关的函数相关联。这种表征是通过傅里叶变换的可积性来实现的