Abstract
We generalize the celebrated theorem of Stein on the maximal operator of a sequence of translation invariant operators, from the scalar case to vector valued functions.
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Sagher, Y., Xiang, N. Limits of sequences of operators on spaces of vector valued functions. The Journal of Fourier Analysis and Applications 3 (Suppl 1), 959–970 (1997). https://doi.org/10.1007/BF02656498
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DOI: https://doi.org/10.1007/BF02656498