## An extended inequality for the maximal function.(English)Zbl 0303.46028

### MSC:

 46E30 Spaces of measurable functions ($$L^p$$-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) 26D15 Inequalities for sums, series and integrals
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### References:

 [1] David R. Adams and Richard J. Bagby, Translation-dilation invariant estimates for Riesz potentials, Indiana Univ. Math. J. 23 (1973/74), 1051 – 1067. · Zbl 0276.31003 [2] A. Benedek and R. Panzone, The space \?^{\?}, with mixed norm, Duke Math. J. 28 (1961), 301 – 324. · Zbl 0107.08902 [3] C. Fefferman and E. M. Stein, Some maximal inequalities, Amer. J. Math. 93 (1971), 107 – 115. · Zbl 0222.26019
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