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Nonlinear operators of integral type in some functions spaces

  • Autores: Carlo Bardaro, Gianluca Vinti, J. Musielak
  • Localización: Collectanea mathematica, ISSN 0010-0757, Vol. 48, Fasc. 4-6, 1997, págs. 409-422
  • Idioma: inglés
  • Enlaces
  • Resumen
    • We give results about embeddings, approximation and convergence theorems for a class of general nonlinear operators of “integral type” in abstract modular function spaces. Thus we extend some previous result on the matter.

  • Referencias bibliográficas
    • C. Bardaro, J. Musielak and G. Vinti, Approximation by nonlinear integral operators in some modular function spaces, Ann. Polon. Math. 63...
    • C. Bardaro, J. Musielak and G. Vinti, On the definition and properties of a general modulus of continuity in some function spaces, Math. Japon....
    • C. Bardaro and G. Vinti, Modular convergence in generalized Orlicz spaces for moment type operators, Appl. Anal. 32 (1989), 265–276.
    • J. Musielak, Orlicz spaces and Modular spaces, Springer-Verlag, Lecture Notes in Math. 1034, 1983.
    • J. Musielak, Nonlinear approximation in some modular function spaces I, Math. Japon. 38 (1993), 83–90.
    • J. Musielak, On the approximation by nonlinear integral operators with generalized Lipschitz kernel over a locally compact abelian group,...

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