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arxiv: 1802.04464 · v1 · pith:BWTG2QMEnew · submitted 2018-02-13 · 🧮 math.FA

Semi-continuous convolutions on weakly periodic Lebesgue spaces

classification 🧮 math.FA
keywords lebesgueconvolutionsdirectionsperiodicsemi-continuousappliedaxescertain
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We deduce mixed quasi-norm estimates of Lebesgue types on semi-continuous convolutions between sequences and functions which may be periodic or possess a weaker form of periodicity in certain directions. In these directions, the Lebesgue quasi-norms are applied on the period instead of the whole axes.

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