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Hardy-Goldberg operator and its conjugate one in Hardy spaces and \({\mathrm{BMO}}(\mathbb{T})\) - MaRDI portal

Hardy-Goldberg operator and its conjugate one in Hardy spaces and \({\mathrm{BMO}}(\mathbb{T})\) (Q2356570)

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Hardy-Goldberg operator and its conjugate one in Hardy spaces and \({\mathrm{BMO}}(\mathbb{T})\)
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    Hardy-Goldberg operator and its conjugate one in Hardy spaces and \({\mathrm{BMO}}(\mathbb{T})\) (English)
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    30 July 2015
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    The author investigates the Hardy-Goldberg transform (operator). More precisely, the boundedness of this operator on the real Hardy space is proved. Similar results are obtained for the periodic BMO and VMO spaces.
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    Hardy-Goldberg operator
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    Fourier coefficients
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    Hardy space
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    BMO space
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    VMO space
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