Blar i forfatter "Baramidze, David"

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    • (Hp− Lp -Type inequalities for subsequences of Nörlund means of Walsh–Fourier series 

      Baramidze, David; Persson, Lars-Erik; Tangrand, Kristoffer Meyer; Tephnadze, George (Journal article; Tidsskriftartikkel; Peer reviewed, 2023-04-07)

    • Some new results and inequalities for subsequences of Nörlund logarithmic means of Walsh–Fourier series 

      Baramidze, David; Persson, Lars-Erik; Singh, Harpal; Tephnadze, George (Journal article; Tidsskriftartikkel; Peer reviewed, 2022-03-07)
      We prove that there exists a martingale f ∈ H<sub>p</sub> such that the subsequence {L<sub>2n</sub f} of Nörlund logarithmic means with respect to the Walsh system are not bounded from the martingale Hardy spaces H<sub>p</sub> to the space weak – L<sub>p</sub> for 0 < p < 1. We also prove that for any f ∈ L<sub>p</sub>, p ≥ 1, L<sub>2n</sub> f converge to f at any Lebesgue point x. Moreover, ...

    • Some New Weak (Hp- Lp)-Type Inequality for Weighted Maximal Operators of Partial Sums of Walsh–Fourier Series 

      Baramidze, David; Persson, Lars-Erik; Singh, Harpal; Tephnadze, George (Journal article; Tidsskriftartikkel; Peer reviewed, 2023-08-18)
      In this paper, we introduce some new weighted maximal operators of the partial sums of the Walsh–Fourier series. We prove that for some “optimal” weights these new operators indeed are bounded from the martingale Hardy space H<sub>p</sub>(G) to the Lebesgue space weak−L<sub>p</sub>(G), for 0<p<1. Moreover, we also prove sharpness of this result. As a consequence we obtain some new and well-known ...