Convergence in variable Lebesque spaces

David Cruz-Uribe SFO; Alberto Fiorenza

doi:pm/1277731541

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Home > Journals > Publ. Mat. > Volume 54 > Issue 2 > Article

2010 Convergence in variable Lebesque spaces

David Cruz-Uribe SFO, Alberto Fiorenza

Publ. Mat. 54(2): 441-459 (2010).

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Abstract

We consider the relationship in the variable Lebesgue space $L^{p(\cdot)}(\Omega)$ between convergence in norm, convergence in modular, and convergence in measure, for both bounded and unbounded exponent functions.