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Convolution inequalities in Lorentz spaces - MaRDI portal

Convolution inequalities in Lorentz spaces (Q719696)

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scientific article; zbMATH DE number 5956250
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Convolution inequalities in Lorentz spaces
scientific article; zbMATH DE number 5956250

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    Convolution inequalities in Lorentz spaces (English)
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    11 October 2011
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    The authors study boundedness of the convolution operator in different Lorentz spaces. They obtain the limit case of the Young-O'Neil inequality in the classical Lorentz spaces. They also investigate the convolution operator in the weighted Lorentz spaces. The results extend some known inequalities.
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    convolution operator
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    Lorentz space
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    Young-O'Neil inequality
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