A concept of the multiplicator of symmetric function space concerning to projective tensor product is introduced and studied. This allows us to obtain some concrete results. In particular, the well-know theorem of R. O'Neil about boundedness of tensor product in the Lorentz spaces Lpq is discussed.
@article{urn:eudml:doc:40662,
title = {Tensor product in symmetric function spaces.},
journal = {Collectanea Mathematica},
volume = {48},
year = {1997},
pages = {375-391},
zbl = {0892.46028},
mrnumber = {MR1602623},
language = {en},
url = {http://dml.mathdoc.fr/item/urn:eudml:doc:40662}
}
Astashkin, S. V. Tensor product in symmetric function spaces.. Collectanea Mathematica, Tome 48 (1997) pp. 375-391. http://gdmltest.u-ga.fr/item/urn:eudml:doc:40662/