Corrigendum to "On weighted iterated Hardy-type inequalities" [Positivity, 22 (1) (2018), 275-299]

preprint2022arXivOpen access

Abstract

We correct a mistake in the paper ["On weighted iterated Hardy-type inequalities", Positivity, 22 (1) (2018), 275-299]. -- In this paper the inequality (∫0∞(∫x∞(∫t∞h)qw(t) dt)r/qu(x) ds)1/r≤C ∫0∞hv,h∈M+(0,∞) \bigg( \int_0^{\infty} \bigg( \int_x^{\infty} \bigg( \int_t^{\infty} h \bigg)^q w(t)\,dt \bigg)^{r / q} u(x)\,ds \bigg)^{1/r}\leq C \,\int_0^{\infty} h v, \quad h \in {\mathfrak M}^+(0,\infty) is characterized. Here 0<q, r<∞0 < q ,\, r < \infty and u, v, wu,\,v,\,w are weight functions on (0,∞)(0,\infty).

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