4 papers
math.CA2022
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…
math.CA2020
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…
math.AP2019
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…
math.CA2018
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, …