JournalszaaVol. 13, No. 1pp. 155–170

Modular Convergence Theorems in Fractional Musielak-Orlicz Spaces

  • Carlo Bardaro

    Università degli Studi di Perugia, Italy
  • Gianluca Vinti

    Università degli Studi di Perugia, Italy
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Abstract

Here we study modular convergence in fractional Musielak-Orlicz spaces for se-quences of moment type operators and convolution operators. To obtain the requested convergence properties we give some estimates for the involved operators, using a growth condition on the convex function φ\varphi generating the space Lφ,αL^{\varphi, \alpha}. Then the convergence theorems are obtained using a density theorem of Musielak type. For the convolution operators we also consider the line group setting.

Cite this article

Carlo Bardaro, Gianluca Vinti, Modular Convergence Theorems in Fractional Musielak-Orlicz Spaces. Z. Anal. Anwend. 13 (1994), no. 1, pp. 155–170

DOI 10.4171/ZAA/519