Zobrazeno 1 - 10
of 2 557
pro vyhledávání: '"Amiran A"'
Publikováno v:
Зовнішні справи, Vol 32, Iss 5, Pp 32-39 (2022)
The relevance of the research is determined by the active intervention of the occupying Russian troops and the implementation of the general policy of officials in the external and internal processes of the state system of post-Soviet countries, in p
Externí odkaz:
https://doaj.org/article/1c90e81f031145da95743ce8909a9e2e
Autor:
Gogatishvili, Amiran, Pick, Luboš
We establish a set of relations between several quite diverse types of weighted inequalities involving various integral operators and fairly general quasinorm-like functionals. The main result enables one to solve a specific problem by transferring i
Externí odkaz:
http://arxiv.org/abs/2407.20115
Let $(A_0, A_1)$ be a compatible couple of quasi-normed spaces, and let $\Phi_0$ and $\Phi_1$ be two general parameters of $K$-interpolation method. We compute $K$-functional for the couple $((A_0,A_1)_{\Phi_0}, (A_0, A_1)_{\Phi_1})$ in terms of $K$-
Externí odkaz:
http://arxiv.org/abs/2407.01043
Autor:
Gogatishvili, Amiran, Ünver, Tuğçe
Let $1\leq p <\infty$ and $0 < q,r < \infty$. We characterize the validity of the inequality for the composition of the Hardy operator, \begin{equation*} \bigg(\int_a^b \bigg(\int_a^x \bigg(\int_a^t f(s)ds \bigg)^q u(t) dt \bigg)^{\frac{r}{q}} w(x) d
Externí odkaz:
http://arxiv.org/abs/2406.11298
We give a sharp sufficient condition on the distribution function, $|\{x\in \Omega :\,p(x)\leq 1+\lambda\}|$, $\lambda>0$, of the exponent function $p(\cdot): \Omega \to [1,\infty)$ that implies the embedding of the variable Lebesgue space $L^{p(\cdo
Externí odkaz:
http://arxiv.org/abs/2406.03392
Publikováno v:
TWMS J. Pure Appl. Math., V.15, N.1, 2024, 127-141
In this paper, we consider the generalized fractional maximal function and use it to introduce the space of generalized fractional maximal functions and the various cones of monotone functions generated by generalized fractional maximal functions $M_
Externí odkaz:
http://arxiv.org/abs/2406.01450
Autor:
Sophia Surguladze, Paige A. Armstrong, Geoff A. Beckett, Shaun Shadaker, Amiran Gamkrelidze, Maia Tsereteli, Vladimer Getia, Benedict Oppong Asamoah
Publikováno v:
BMC Infectious Diseases, Vol 24, Iss 1, Pp 1-11 (2024)
Abstract Background Hepatitis C virus (HCV) infection can lead to a type of primary liver cancer called hepatocellular carcinoma (HCC). Georgia, a high HCV prevalence country, started an HCV elimination program in 2015. In addition to tracking incide
Externí odkaz:
https://doaj.org/article/f63a489542d946a98a09cdd18dec5663
The paper provides a detailed study of crucial inequalities for smoothness and interpolation characteristics in rearrangement invariant Banach function spaces. We present a unified approach based on Holmstedt formulas to obtain these estimates. As ex
Externí odkaz:
http://arxiv.org/abs/2307.05124
Autor:
Ahmed, Irshaad, Fiorenza, Alberto, Formica, Maria Rosaria, Gogatishvili, Amiran, Hamidi, Abdallah El, Rakotoson, Jean Michel
As in the work of Tartar ( Tartar L. Interpolation non lin\'eaire et r\'egularit\'e, 9, Journal of Functional Analysis, (1972), 469-489) we developed here some new results on non linear interpolation of $\alpha$-H\"olderian mappings between normed sp
Externí odkaz:
http://arxiv.org/abs/2211.01574
We give a new characterization of a continuous embedding between two function spaces of type $G\Gamma$. Such spaces are governed by functionals of type $$ \|f\|_{G\Gamma(r,q;w,\delta)} := \left(\int_{0}^{L} \left( \frac1{\Delta(t)} \int_0^t f^*(s)^r
Externí odkaz:
http://arxiv.org/abs/2210.12988