Abstract

SynopsisWe give conditions on pairs of non-negative weight functions u and v which are sufficient that, for 1<p, q <∞,where T is the Hankel-or the K-transformation.The proofs are based on a weighted Marcinkiewicz interpolation theorem for linear operators. In the case that T is the Hankel transformation and 1<p≦q <∞, the result is similar to a weighted estimate of Heywood and Rooney [9], but with different weight conditions.

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