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math.CA2017
Modular inequalities for the maximal operator in variable Lebesgue spaces
David Cruz-Uribe, Giovanni Di Fratta, Alberto Fiorenza
A now classical result in the theory of variable Lebesgue spaces due to Lerner [A. K. Lerner, On modular inequalities in variable spaces, Archiv der Math. 85 (2005), no. 6, 5…
math.CA2017
Embeddings between grand, small and variable Lebesgue spaces
David Cruz-Uribe, Alberto Fiorenza, Oscar Guzman
We give conditions on the exponent function that imply the existence of embeddings between grand, small and variable Lebesgue spaces. We construct examples to show that…