4 papers
On Weighted Local Morrey-type and Complementary Local Morrey-Type Spaces
Amiran Gogatishvili, Yoshihiro Sawano, TuÄçe Ãnver
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
TuÄçe Ãnver, 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, LuboÅ¡ Pick, Hana TurÄinová +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 Ãnver
We find necessary and sufficient conditions on weights , i.e. measurable, positive, and finite, a.e. on , for which there exists a positive constant …