Tensor product in symmetric function spaces

1998/12/29 by S. V. Astashkin
Mathematics · #math.FA #math.CA #msc:46B70 #msc:46B20 #msc:48B40

paper · pdf

published as Collectenea Math. 48(1997), 375 -- 391 · 17 pages

arxiv created 1998/12/29 · arxiv updated 2009/11/30

Abstract

A concept of multiplicator of symmetric function space concerning to projective tensor product is introduced and studied. This allows to obtain some concrete results. In particular, the well-known theorem of R. O'Neil about the boundedness of tensor product in the Lorentz spaces L_p,q is discussed.

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