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Optimal relations between Lp-norms for the Hardy operator and its dual
Hardy operator Dual operator Best constants
2012/6/29
We obtain sharp two-sided inequalities between $L^p-$norms $(1 of functions $Hf$ and $H^*f$, where $H$ is the Hardy operator, $H^*$ is its dual, and $f$ is a nonnegative measurable function...
Weighted Weak Type Inequalities For The Hardy Operator When $p = 1$
Hardy operator Weak type inequality
2008/6/26
The paper studies the weighted weak type inequalities for the Hardy operator as an operator from weighted to weighted weak in the case . It considers two different versions of the Hardy operator and...