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

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Showing 2012Show all

3 papers · 1 filter

math.FA2012

The Rearrangement-Invariant space $Γ_{p, ϕ}$

Amiran Gogatishvili, Ron Kerman

Fix $b \in (0, \infty)$ and $p \in (1, \infty)$ . Let $ϕ$ be a positive measurable function on $I_{b} := (0, b)$ . Define the Lorentz Gamma norm, $\r_{p,ϕ}$, at the measurable function $f:\R+…

math.FA2012

A note on maximal commutators and commutators of maximal functions

Mujdat Agcayazi, Amiran Gogatishvili, Kerim Koca +1

In this paper maximal commutators and commutators of maximal functions with functions of bounded mean oscillation are investigated. New pointwise estimates for them are proved.

math.FA2012

Relations Between Some Classes Of Functions Of Generalized Bounded Variation

Amiran Gogatishvili, Ushangi Goginava, George Tephnadze

We prove inclusion relations between generalized Waterman's and generalized Wiener's classes for functions of two variable.

The Rearrangement-Invariant space Γp,ϕ​

A note on maximal commutators and commutators of maximal functions

Relations Between Some Classes Of Functions Of Generalized Bounded Variation

The Rearrangement-Invariant space $Γ_{p, ϕ}$