Ir al contenido

Documat


Tensor product in symetric function spaces

  • Autores: Sergey V. Astashkin Árbol académico
  • Localización: Collectanea mathematica, ISSN 0010-0757, Vol. 48, Fasc. 4-6, 1997, págs. 375-392
  • Idioma: inglés
  • Enlaces
  • Resumen
    • 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 $L_{pq}$ is discussed.

  • Referencias bibliográficas
    • M. Milman, Some new function spaces and their tensor products, Notas Mat. 20 (1978), 1–128.
    • J. Lindenstrauss and L. Tzafriri, Classical Banach spaces 2, Function spaces, Springer, Berlin 1979.
    • W\.B. Johnson, B. Maurey, G. Schechtman and L. Tzafriri, Symmetric structures in Banach spaces, Mem. Amer. Math. Soc. 217 (1979), 1–298.
    • N.L. Carothers, Rearrangement invariant subspaces of Lorentz function spaces, Israel J. Math. 40(3-4) (1981), 217–228.
    • C. Corduneanu, Integral equations and stability of Feedback systems, Academic Press, New York 1973.
    • M. Milman, Tensor products of function spaces, Proc. Amer. Math. Soc. 82(4) (1976), 626–628.
    • M. Milman, Embeddings of Lorentz-Marcinkiewicz spaces with mixed norms, Anal. Math. 4(3) (1978), 215–223.
    • M. Milman, Embeddings of $L(p,q)$ spaces and Orlicz spaces with mixed norms, Notas Mat. 13 (1977), 1–7.
    • R. O’Neil, Integral transforms and tensor products on Orlicz spaces and $L(p,q)$ spaces, J. Analyse Math. 21 (1968), 1–276.
    • R. O’Neil, Convolution operators and $L(p,q)$ spaces, Duke Math. J. 30 (1963), 129–142.
    • S.V. Astashkin, On bilinear multiplicative operator \[in Russian], in: Theory of functions of several variables, Jaroslavl’ (1982), 3–15.
    • S.G. Krein, Yu.I. Petunin and E.M. Semenov, Interpolation of Linear Operators \[in Russian], Nauka, Moscow 1978.
    • J. Bergh and J. Löfstrom, Interpolation Spaces. An Introduction, Springer, Berlin 1976.
    • H.P. Rosenthal, On a theorem of J.L. Krivine concerning block finite-representability of $l^p$ in general Banach spaces, J. Funct. Anal. 28...
    • L.V. Kantorovicz and G.P. Akilov, Functional Analysis \[in Russian], Nauka, Moscow 1977.
    • A. Zygmund, Trigonometric Series. I \[Russian translation], Mir, Moscow 1965.
    • R. Sharpley, Counterexamples for classical operators on Lorentz-Zygmund spaces, Studia Math. 68(2) (1980), 141–158.
    • B. Jawerth and M. Milman, Extrapolation theory with application, Mem. Amer. Math. Soc. 89(440) (1991), 1–82.
    • A.P. Calderon, Intermediate spaces and interpolation, the complex method, Studia Math. 24 (1964), 113–190.

Fundación Dialnet

Mi Documat

Opciones de artículo

Opciones de compartir

Opciones de entorno