Recent advances in harmonic analysis have renewed interest in Hausdorff operators and Hardy inequalities, given their central role in understanding the structure of function spaces. Hausdorff ...

Annals of Mathematics, Second Series, Vol. 176, No. 3 (November, 2012), pp. 1783-1826 (44 pages) We prove generalizations of Löwner's results on matrix monotone functions to several variables. We give ...