Convergence in variable Lebesque spaces
Cruz-Uribe, David ; Fiorenza, Alberto
Publ. Mat., Tome 54 (2010) no. 2, p. 441-459 / Harvested from Project Euclid
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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.
Publié le : 2010-05-15
Classification:  Variable Lebesgue space,  norm convergence,  modular convergence,  convergence in measure,  42B25,  42B35 
@article{1277731541,
     author = {Cruz-Uribe, David and Fiorenza, Alberto},
     title = {Convergence in variable Lebesque spaces},
     journal = {Publ. Mat.},
     volume = {54},
     number = {2},
     year = {2010},
     pages = { 441-459},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1277731541}
}

Cruz-Uribe, David; Fiorenza, Alberto. Convergence in variable Lebesque spaces. Publ. Mat., Tome 54 (2010) no. 2, pp.  441-459. http://gdmltest.u-ga.fr/item/1277731541/