G. Oniani

activity

20182024

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4 papers · 1 filter

math.CA2024

Relation between asymptotic $L_{p}$ -convergence and some classical modes of convergence

Nuno J. Alves, Giorgi G. Oniani

Asymptotic $L_{p}$ -convergence, which resembles convergence in $L_{p}$ , was introduced to address a question in diffusive relaxation. This note aims to compare asymptotic $L_{p}$ -converg…

math.CA2022

Sharp Weak Type Estimates for Maximal Operators associated to Rare Bases

Paul Hagelstein, Giorgi Oniani, Alex Stokolos

Let $B$ denote a nonempty translation invariant collection of intervals in $R^{n}$ (which we regard as a rare basis), and define the associated geometric maximal o…

math.CA2020

On Sjölin-Soria-Antonov type extrapolation for locally compact groups

Giorgi Oniani

Sjölin-Soria-Antonov type extrapolation theorem for locally compact $σ$ -compact non-discrete groups is proved. As an application of this result it is shown that the Fourier series…

math.CA2018

On the differentiation of integrals with respect to translation invariant convex density bases