Embeddings between weighted Tandori and Cesàro function spaces
No Thumbnail Available
Date
2021
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
Ankara Üniversitesi
Abstract
We characterize the weights for which the two-operator inequality ∥∥∥(∫x0f(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,∞), where 0<p<q≤∞ and 0<r<∞, namely, we find the least constants in the embeddings between weighted Tandori and Ces\`{a}ro function spaces. We use the combination of duality arguments for weighted Lebesgue spaces and weighted Tandori spaces with weighted estimates for the iterated integral operators.
Description
Keywords
Cesàro function spaces, Copson function spaces, Tandori function spaces, embeddings, weighted inequalities, Hardy operator, Copson operator, iterated operators