Stephen Montgomery-Smith, The Hardy Operator and Boyd Indices.
Interaction between Probability, Harmonic Analysis and Functional Analysis, Ed: N. Kalton, S.J. Montgomery-Smith, E. Saab, Lecture Notes in Pure and Appl. Math, 175, Marcel Dekker, New York, 1995.
We give necessary and sufficient conditions for the Hardy operator to be bounded on a rearrangement invariant quasi-Banach space in terms of its Boyd indices.
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