Abstract
It is found class of pairs of exponents (p(·), q(·)) such that for pairs of Banach function spaces (Lp(·)(ℝ\_n\_), Lq(·)(ℝ\_n\_)) weak Minkowski’s inequality holds. Also some conditions which ensure the boundednness of maximal operator M\_φ: Lp(·)(ℝ\_n) → Lq(·)w (ℝ\_n\_) are found, when for the pair of Banach function spaces (Lp(·)(ℝ\_n\_) , Lq(·)(ℝ\_n\_)) holds weak Minkowski’s inequality.
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