Оценки одного класса квазилинейных интегральных операторов на множестве неотрицательных и неотрицательно-монотонных функций

2019

Closed access Metadata (CSL-JSON)
DOI 10.4213/im8613
Data confidence 70 medium
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Abstract

В работе рассматриваются весовые оценки для квазилинейных интегральных операторов вида $$ \mathcal{K}^+f(x)=(\int_{0}^{x}|w(t)\int_{t}^{x}K(s,t)f(s) ds|^{r} dt)^{{1}/{r}} $$ из $L_{p,v}$ в $L_{q,u}$ на множестве неотрицательных и неотрицательно-монотонных функций $f$, где $u$, $v$ и $w$ - весовые функции. В предположении, что $0