Amiran Gogatishvili

activity

20112026

most citedCompactness in quasi-Banach function spaces and applications to compact embeddings of Besov-type spaces

15 citations · 87 across the 48 of their papers we have counts for

collaborators

Showing 2017Show all

2 papers · 1 filter

math.FA2017

Construction of function spaces close to $L^{\infty}$ with associate space close to $L^{1}$

David Edmunds, Amiran Gogatishvili, Tengiz Kopaliani

The paper introduces a variable exponent space $X$ which has in common with $L^{\infty} ([0, 1])$ the property that the space $C ([0, 1])$ of continuous functions on $[0, 1]$ is a close…

math.FA2017

Characterization of interpolation between Grand, small or classical Lebesgue spaces

Aberto Fiorenza, Maria Rosaria Formica, Amiran Gogatishvili +2

In this paper, we show that the interpolation spaces between Grand, small or classical Lebesgue are so called Lorentz-Zygmund spaces or more generally $G Γ$ -spaces. As a direct cons…

Construction of function spaces close to L∞ with associate space close to L1

Characterization of interpolation between Grand, small or classical Lebesgue spaces

Construction of function spaces close to $L^{\infty}$ with associate space close to $L^{1}$