Shalva Zviadadze

activity

20142022

collaborators

4 papers

math.FA2022

On the generalized Wiener bounded variation spaces with p-variable

Ani Ozbetelashvili, Shalva Zviadadze

In this paper, we have investigated the generalized Wiener space of bounded variation with $p$ -variable. Various results are obtained such as uniform convexity and reflexivity, the…

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.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}…

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…

On the generalized Wiener bounded variation spaces with p-variable

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

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

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

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

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