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Variants of the Maurey-Rosenthal theorem for quasi K"othe function spaces

Andreas Defant
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Abstract

The Maurey-Rosenthal theorem states that each bounded and linear operator T from a quasi normed space E into some L_p(\nu) which satisfies a certain vector-valued inequality even allows a weighted norm inequality. Continuing the work of Garcia Cuerva and Rubio de Francia we give several scalar and vector-valued variants of this fundamental result within the framework of quasi K"othe function spaces over measure spaces.

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Andreas Defant. 1999-08-20. Variants of the Maurey-Rosenthal theorem for quasi K"othe function spaces. https://arxiv.org/abs/math/9908111

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