T. Kopaliani

activity

20132026

most citedLocal Hardy-Littlewood maximal opeator in variable Lebesgue spaces

1 citations · 2 across the 13 of their papers we have counts for

collaborators

Showing math.CAShow all

2 papers · 1 filter

math.CA2024

On the embedding between the variable Lebesgue space $L^{p (\cdot)} (Ω)$ and the Orlicz space $L (lo g L)^{α} (Ω)$

David Cruz-Uribe, Amiran Gogatishvili, Tengiz Kopaliani

We give a sharp sufficient condition on the distribution function, $∣ {x \in Ω : p (x) \leq 1 + λ} ∣$ , $λ > 0$ , of the exponent function $p (\cdot) : Ω \to [1, \infty)$ that implies the embed…

math.CA2014

Hardy-Littlewood Maximal Operator And $B L O^{1/ l o g}$ Class of Exponents

Tengiz Kopaliani, Shalva Zviadadze

It is well known that if Hardy-Littlewood maximal operator is bounded in space $L^{p (\cdot)} [0; 1]$ then $1/ p (\cdot) \in B M O^{1/ l o g}$ . On the other hand if $p(\cdot)\in BMO^{1/\log}…

On the embedding between the variable Lebesgue space Lp(⋅)(Ω) and the Orlicz space L(logL)α(Ω)

Hardy-Littlewood Maximal Operator And BLO1/log Class of Exponents

On the embedding between the variable Lebesgue space $L^{p (\cdot)} (Ω)$ and the Orlicz space $L (lo g L)^{α} (Ω)$

Hardy-Littlewood Maximal Operator And $B L O^{1/ l o g}$ Class of Exponents