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On integral operators with operator-valued kernels - MaRDI portal

On integral operators with operator-valued kernels (Q623645)

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On integral operators with operator-valued kernels
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    On integral operators with operator-valued kernels (English)
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    8 February 2011
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    There are introduced standard \(L_{p}\)-spaces of measurable functions defined on positive measure spaces and having values in Banach spaces. The author gives sufficient conditions of boundedness for integral operators with operator-valued kernels acting between these spaces. These results are applied to the theory of Fourier multipliers.
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    \(L_{p}\)-space
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    integral operator
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    boundedness
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    Besov space
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    Fourier multiplier
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    Fourier type
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