Vector Compact Summation with Greedy Algorithm

Author: Giorgi Chelidze
Keywords: vector compact summation, greedy algorithm

On Some Local Properties Of The Conjugate Function

Author: Ana Danelia
Keywords: Conjugate Function

On some properties of function’s coefficients with respect to block-orthonormal systems

Author: Givi Nadibaidze
Keywords: block-orthonormal system, convergence almost everywhere

Some remarks on classes of functions of generalized bounded variation

Author: Teimuraz Akhobadze
Co-authors: Shalva Zviadadze
Keywords: Functions of generalized Cesáro means, essentially boundedness

On the approximation properties of Cesaro means of negative order of double Vilenkin-Fourier series

Author: Tsitsino Tepnadze
Keywords: Vilenkin system, Cesaro means, Convergence in norm

On the generalized absolute convergence of Fourier trigonometric series

Author: rusudan meskhia

Absolutely convergence factors of Fourier series

Author: Giorgi Tutberidze
supervisor: Vakhtang Tsagareishvili
Keywords: Fourier series, Absolutely convergece factors, Fourier coefficient

Rubio de Fracia extrapolation theorem in variable Lebesgue spaces and applications

Author: Tengiz Kopaliani
Co-authors: Amiran Gogatishvili

Characterization of interpolation between Grand, small or classical Lebesgue spaces

Author: Amiran Gogatishvili
Co-authors: Tengiz Kopaliani, Alberto Fiorenza, Maria Rosaria Formica, Jean Michel Rakotoson
Keywords: Grand Lebesgue space, small Lebesgue spaces, Lebesgue spaces, Lorentz-Zygmund space, real interpolation space, K -functional

UNIFORM CONVERGENCE OF DOUBLE VILENKIN-FOURIER SERIES

Author: Lasha Baramidze
supervisor: Ushangi Goginava

On almost everywhere exponential summability of rectangular partial sums of double trigonometric Fourier series

Author: Ushangi Goginava
Co-authors: Grigori Kargulyan
Keywords: strong means, Fourier series

On the local properties of exponent for boundedness of Hardy-Littlewood maximal operator in variable Lebesgue spaces

Author: Shalva Zviadadze
Co-authors: Tengiz Kopaliani

On the unconditional convergence of Fourier series

Author: Leri Gogoladze

Absolute convergence of Fourier series with respect to general systems

Author: Vakhtang Tsagareishvili
Keywords: Fourier series, absolute convergence