Lower Bounds for Matrices, II
1991 ◽
Vol 44
(1)
◽
pp. 54-74
◽
Keyword(s):
AbstractOur main result is the following monotonicity property for moment sequences μ. Let p be fixed, 1 ≤ p < ∞: thenis an increasing function of r(r = 1,2,…). From this we derive a sharp lower bound for an arbitrary Hausdorff matrix acting on ℓp.The corresponding upper bound problem was solved by Hardy.