4 citations · 6 across the 5 of their papers we have counts for
6 papers
Relation between asymptotic -convergence and some classical modes of convergence
Nuno J. Alves, Giorgi G. Oniani
Asymptotic -convergence, which resembles convergence in , was introduced to address a question in diffusive relaxation. This note aims to compare asymptotic -converg…
Sharp Weak Type Estimates for Maximal Operators associated to Rare Bases
Paul Hagelstein, Giorgi Oniani, Alex Stokolos
Let denote a nonempty translation invariant collection of intervals in (which we regard as a rare basis), and define the associated geometric maximal o…
On Sjölin-Soria-Antonov type extrapolation for locally compact groups
Giorgi Oniani
Sjölin-Soria-Antonov type extrapolation theorem for locally compact -compact non-discrete groups is proved. As an application of this result it is shown that the Fourier series…
On the divergence of subsequences of partial Walsh-Fourier sums
Ushangi Goginava, Giorgi Oniani
A class of increasing sequences of natural numbers is found for which there exists a function such that the subsequence of partial Walsh-Fourier sums $(S_{n_k…
On the differentiation of integrals with respect to translation invariant convex density bases
Giorgi Oniani
For a translation invariant convex density basis it is shown that its Busemann-Feller extension has close to properties, in particular, …
A Resonance Theorem for a Family of Translation Invariant Differentiation Bases
Giorgi G. Oniani
A resonance theorem providing existence of functions that are counterexamples for all members of a given family of translation invariant differentiation bases is proved. Applicatio…