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20162024
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math.FA2024

On weighted Cesàro function spaces

Amiran Gogatishvili, Tuğçe Ünver

The main objective of this paper is to provide a comprehensive demonstration of recent results regarding the structures of the weighted Cesàro and Copson function spaces. These spa…

math.FA2022

Weighted inequalities involving Hardy and Copson operators

Amiran Gogatishvili, Luboš Pick, Tuğçe Ünver

We characterize a four-weight inequality involving the Hardy operator and the Copson operator. More precisely, given , we find necessary and suf…

math.FA2019

Embeddings Between Weighted Cesàro Function Spaces

Tuğçe Ünver

In this paper, we give the characterization of the embeddings between weighted Cesàro function spaces. The proof is based on the duality technique, which reduces this problem to th…

math.FA2019

Pointwise Multipliers between weighted Copson and Cesàro function spaces

A. Gogatishvili, R. Ch. Mustafayev, T. Ünver

In this paper the solution of the pointwise multiplier problem between weighted Copson function spaces and weighted Cesàro function spaces $…

math.FA2018

Multidimensional bilinear Hardy inequalities

Nevin Bilgiçli, Rza Mustafayev, Tuğçe Ünver

Our goal in this paper is to find a characterization of -dimensional bilinear Hardy inequalities \begin{align*} \bigg\| \,\int_{B(0,\cdot)} f \cdot \int_{B(0,\cdot)} g \,\bigg\|…

math.FA2016

Embeddings between weighted complementary local Morrey-type spaces and weighted local Morrey-type spaces

Amiran Gogatishvili, Rza Mustafayev, Tuğçe Ünver

In this paper embeddings between weighted complementary local Morrey-type spaces and weighted local Morrey-type spaces $LM_{pθ,ω}({\ma…