Blar i forfatter "Tutberidze, Giorgi"

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    • On the boundedness of subsequences of Vilenkin-Fejér means on the martingale Hardy spaces 

      Persson, Lars Erik; Tephnadze, George; Tutberidze, Giorgi (Journal article; Tidsskriftartikkel; Peer reviewed, 2020-03)
      In this paper we characterize subsequences of Fejér means with respect to Vilenkin systems, which are bounded from the Hardy space <i>H<sub>p</sub></i> to the Lebesgue space <i>L<sub>p</sub></i>, for all 0 < p < 1/2. The result is in a sense sharp.

    • Properties of sequence of linear functionals on BV with applications 

      Persson, Lars-Erik; Tsagareishvili, Vakhtang; Tutberidze, Giorgi (Journal article; Tidsskriftartikkel; Peer reviewed, 2023-11-24)
      This paper is devoted to investigating the sequence of some linear functionals in the space BV of finite variation functions. We prove that under certain conditions this sequence is bounded. We also prove that this result is sharp. In particular, the obtained results can be used to study convergence of some general Fourier series. Moreover, the obtained conditions seem to be new and useful also for ...

    • Some inequalities related to strong convergence of Riesz logarithmic means 

      Lukkassen, Dag; Persson, Lars Erik; Tephnadze, George; Tutberidze, Giorgi (Journal article; Tidsskriftartikkel; Peer reviewed, 2020-03-23)
      In this paper we derive a new strong convergence theorem of Riesz logarithmic means of the one-dimensional Vilenkin–Fourier (Walsh–Fourier) series. The corresponding inequality is pointed out and it is also proved that the inequality is in a sense sharp, at least for the case with Walsh–Fourier series.

    • A study of bounded operators on martingale Hardy spaces 

      Tutberidze, Giorgi (Doctoral thesis; Doktorgradsavhandling, 2021-12-13)
      <p>The classical Fourier Analysis has been developed in an almost unbelievable way from the first fundamental discoveries by Fourier. Especially a number of wonderful results have been proved and new directions of such research has been developed e.g. concerning Wavelets Theory, Gabor Theory, Time-Frequency Analysis, Fast Fourier Transform, Abstract Harmonic Analysis, etc. One important reason for ...