12 citations · 15 across the 9 of their papers we have counts for
9 papers
On Weighted Local Morrey-type and Complementary Local Morrey-Type Spaces
Amiran Gogatishvili, Yoshihiro Sawano, Tuğçe Ünver
In this paper, we establish necessary and sufficient conditions for continuous embeddings between weighted local Morrey-type spaces and weighted complementary local Morrey-type spa…
Weighted Hardy inequalities involving supremum for decreasing sequences
Tuğçe Ünver, Amiran Gogatishvili, Nurzhan Bokayev +1
In this paper, we provide a complete characterization of the weighted Hardy inequalities involving the supremum operator, restricted to the cone of non-increasing sequences, for al…
The Persson--Stepanov theorem revisited
Amiran Gogatishvili, Luboš Pick, Hana Turčinová +1
We develop a new proof of the result of L.-E.~Persson and V.D.~Stepanov \cite[Theorems 1 and 3]{Per:02}, which provides a characterization of a Hardy integral inequality involving…
Weighted inequalities involving two Hardy operators
Amiran Gogatishvili, Tugce Ünver
We find necessary and sufficient conditions on weights , i.e. measurable, positive, and finite, a.e. on , for which there exists a positive constant …
Embeddings between generalized weighted Lorentz spaces
Amiran Gogatishvili, Zdeněk Mihula, Luboš Pick +2
We give a new characterization of a continuous embedding between two function spaces of type . Such spaces are governed by functionals of type \begin{equation*} \|f\|_{GΓ(r,q;w…
Weighted inequalities for a superposition of the Copson operator and the Hardy operator
Amiran Gogatishvili, Zdeněk Mihula, Luboš Pick +2
We study a three-weight inequality for the superposition of the Hardy operator and the Copson operator, namely \begin{equation*} \bigg(\int_a^b \bigg(\int_t^b \bigg(\int_a^s f(τ)^p…
Embeddings between weighted Copson and Cesàro function spaces
Amiran Gogatishvili, Rza Mustafayev, Tuǧçe Ünver
In this paper embeddings between weighted Copson function spaces and weighted Cesàro function spaces ${\operatorname{Ces}}_{p_2,q_2}(u_2,v…
Reverse Hardy-type inequalities for supremal operators with measures
R. Ch. Mustafayev, T. Ünver
In this paper we characterize the validity of the inequalities and $\label{eq.0.1.2} \|g\|_{p,(a,b),λ} \le c \…
Embeddings between weighted local Morrey-type spaces and weighted Lebesgue spaces
R. Ch. Mustafayev, T. Ünver
In this paper, the embeddings between weighted local Morrey-type spaces and weighted Lebesgue spaces are investigated.