4 citations · 10 across the 9 of their papers we have counts for
10 papers
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…
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…
Weighted inequalities involving iteration of two Hardy integral operators
Amiran Gogatishvili, Tuğçe Ünver
Let and . We characterize validity of the inequality for the composition of the Hardy operator, \begin{equation*} \bigg(\int_a^b \bigg(\int_a^x…
Weighted inequalities for discrete iterated kernel operators
Amiran Gogatishvili, Luboš Pick, Tuğçe Ünver
We develop a new method that enables us to solve the open problem of characterizing discrete inequalities for kernel operators involving suprema. More precisely, we establish neces…
Embeddings between weighted Tandori and Cesàro Function Spaces
Tuğçe Ünver
We give the characterization of the embeddings between weighted Tandori and Cesàro function spaces using the combination of duality arguments for weighted Lebesgue spaces and weigh…
Embeddings Between weighted local Morrey-type spaces
Amiran Gogatishvili, Tuğçe Ünver
In this paper certain -dimensional inequalities are shown to be equivalent to the inequalities in the one-dimensional setting. By this means, embeddings between weighted local M…
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…
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 $…
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\|…
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…