Nino Samashvili

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20142020

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math.FA2020

divergent Fourier series in function spaces near $L^{1} [0; 1]$

Tengiz Kopaliani, Nino Samashvili, Shalva Zviadadze

In this paper we generalize Bochkariev's theorem, which states that for any uniformly bounded orthonormal system $Φ$ , there exists a Lebesgue integrable function such that the Four…

math.FA2015

Some $s$ -numbers of an integral operator of Hardy type in Banach function spaces

David Edmunds, Amiran Gogatishvili, Tengiz Kopaliani +1

Let $s_{n} (T)$ denote the $n$ th approximation, isomorphism, Gelfand, Kolmogorov or Bernstein number of the Hardy-type integral operator $T$ given by $$ Tf(x)=v(x)\int_{a}^{x}u(t)f(…

math.FA2014

On the upper and lower estimates of norms in variable exponent spaces

Tengiz Kopaliani, Nino Samashvili, Shalva Zviadadze

In the present paper we investigate some geometrical properties of the norms in Banach function spaces. Particularly there is shown that if exponent $1/ p (\cdot)$ belongs to $BLO^{1…

divergent Fourier series in function spaces near L1[0;1]

Some s-numbers of an integral operator of Hardy type in Banach function spaces

On the upper and lower estimates of norms in variable exponent spaces

divergent Fourier series in function spaces near $L^{1} [0; 1]$

Some $s$ -numbers of an integral operator of Hardy type in Banach function spaces