2 papers
math.FA2026
Compact sets in Banach lattices over spaces of homogeneous type
Ayşenur Aydoğdu, Amiran Gogatishvili, Yoshihiro Sawano +1
We prove a Kolmogorov--Riesz compactness theorem for Banach lattices over spaces of homogeneous type. Especially, we consider the one for . Our characterization is formulated…
math.AP2026
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…