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1. CJM 2007 (vol 59 pp. 276)
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Weighted Inequalities for Hardy--Steklov Operators We characterize the pairs of weights $(v,w)$ for which the
operator $Tf(x)=g(x)\int_{s(x)}^{h(x)}f$ with $s$ and $h$
increasing and continuous functions is of strong type
$(p,q)$ or weak type $(p,q)$ with respect to the pair
$(v,w)$ in the case $0 Keywords:Hardy--Steklov operator, weights, inequalities Categories:26D15, 46E30, 42B25 |