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Molecular decomposition and a class of Fourier multipliers for bi-parameter modulation spaces - MaRDI portal

Molecular decomposition and a class of Fourier multipliers for bi-parameter modulation spaces (Q2062539)

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scientific article; zbMATH DE number 7451043
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Molecular decomposition and a class of Fourier multipliers for bi-parameter modulation spaces
scientific article; zbMATH DE number 7451043

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    Molecular decomposition and a class of Fourier multipliers for bi-parameter modulation spaces (English)
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    27 December 2021
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    In this paper the authors investigate bi-parameter modulation spaces on \(\mathbb{R}^n \times \mathbb{R}^m\) and derive a molecular decomposition for bi-parameter modulation spaces. Furthermore, they prove the boundedness of a class of Fourier multipliers on bi-parameter modulation spaces.
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    modulation space
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    molecular decomposition
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    Fourier multiplier
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    maximal function
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