We establish strong and weak Hardy–Littlewood–Sobolev inequalities for the subadditive operators majorized by operators from a certain class of integral convolutions of the Riesz-potential type with almost monotone kernels generated both by operators of ordinary shift and by operators of generalized shift associated with the differential Laplace–Bessel operator.

中文翻译：

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一类具有广义移位的子可加算子

我们为次可加算子建立了强和弱的 Hardy-Littlewood-Sobolev 不等式，这些算子主要是来自某一类 Riesz 势型积分卷积的算子，其几乎单调核由普通移位算子和广义移位算子生成微分拉普拉斯-贝塞尔算子。