Abstract
There has been a considerable amount of studies on the variable exponent Lebesgue spaces L; see [5, 7] etc. for exhaustive account of this direction of research. In those studies, various kinds of norm inequalites were discussed, including those which show the boundedness of important operators. Cruz-Uribe, Fiorenza, Martell and Perez [6] gave a method to obtain L-norm inequalities from L0(w)-norm inequalities with a constant exponent p0 and weights w. In fact, they proved [6, Theorem 1.3]:
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