English

Tensor product in symmetric function spaces

Functional Analysis 2007-05-23 v1 Classical Analysis and ODEs

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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Cite

@article{arxiv.math/9812155,
  title  = {Tensor product in symmetric function spaces},
  author = {S. V. Astashkin},
  journal= {arXiv preprint arXiv:math/9812155},
  year   = {2007}
}

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17 pages