Convergence in variable Lebesque spaces
David Cruz-Uribe and Alberto Fiorenza
Source: Publ. Mat. Volume 54, Number 2
(2010), 441-459.
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.
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