Elementary reverse Hölder type inequalities with application to operator interpolation theory (original) (raw)
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Collectanea Mathematica, 2006
Let u, b be two weight functions on (0, ∞). Assume that u is continuous on (0, ∞) and that b is such that the function B(t) := t 0 b(s) ds satisfies 0 < B(t) < ∞ for every t ∈ (0, ∞). Let the operator T u,b be given at a measurable non-negative function g on (0, ∞) by