5 citations · 7 across the 4 of their papers we have counts for
4 papers
Local Hardy-Littlewood maximal opeator in variable Lebesgue spaces
Ana Danelia, Amiran Gogatishvili, Tengiz Kopaliani
We investigate the class of exponents for with local Hardy-Littlewood maximal operator is bounded in s…
Some new iterated hardy-type inequalities: The case
Amiran Gogatishvili, Rza Chingiz Mustafayev, Lars-Erik Persson
In this paper we characterize the validity of the Hardy-type inequality \begin{equation*} \left\|\left\|\int_s^{\infty}h(z)dz\right\|_{p,u,(0,t)}\right\|_{q,w,\infty}\leq c \,\|h\|…
The Rearrangement-Invariant space
Amiran Gogatishvili, Ron Kerman
Fix and . Let be a positive measurable function on . Define the Lorentz Gamma norm, $\r_{p,ϕ}$, at the measurable function $f:\R+…
Characterizations of Besov and Triebel-Lizorkin Spaces on Metric Measure Spaces
Amiran Gogatishvili, Pekka Koskela, Yuan Zhou
On a metric measure space satisfying the doubling property, we establish several optimal characterizations of Besov and Triebel-Lizorkin spaces, including a pointwise characterizat…