Estimates of norms of operators that are continuous in measure (Q1177806)

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scientific article; zbMATH DE number 21114
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Estimates of norms of operators that are continuous in measure
scientific article; zbMATH DE number 21114

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    Estimates of norms of operators that are continuous in measure (English)
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    26 June 1992
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    For a certain class of convolution operators \(T_ n= K_ n*f\), \(K_ n\in L^{1+\delta} (T^ m)\), \(\delta>0\), the following estimate is proved: \[ \| T_ n\|_{p\to p}\leq A+B(\ln^ + \| K_ n\|_{1+\delta})^{1/p}. \]
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    continuity in measure
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    convolution operators
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