The authors give proofs of Khinchin and Marcinkiewicz-Zygmund inequalities in Orlicz and Lorentz spaces and extend a Kadec-Pelczynski theorem to Orlicz spaces with linear-to-quadratic Young functions.
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A Marcinkiewicz-Zygmund inequality and the Kadec Pe{\l}czyn\'ski theorem in Orlicz spaces
The authors give proofs of Khinchin and Marcinkiewicz-Zygmund inequalities in Orlicz and Lorentz spaces and extend a Kadec-Pelczynski theorem to Orlicz spaces with linear-to-quadratic Young functions.