Embeddings between weighted Tandori and Cesàro function spaces

Abstract

We characterize the weights for which thetwo-operator inequality ∥∥∥(∫x0f(t)pv(t)pdt)1p∥∥∥q,u,(0,∞)≤c∥∥∥esssupt∈(x,∞)f(t)∥∥∥r,w,(0,∞)‖(∫0xf(t)pv(t)pdt)1p‖q,u,(0,∞)≤c‖esssupt∈(x,∞)f(t)‖r,w,(0,∞) holds for all non-negative measurable functions on (0,∞)(0,∞),where 0