54 citations · 94 across the 8 of their papers we have counts for
9 papers
Dimension free properties of strong Muckenhoupt and Reverse Hölder weights for Radon measures
Oleksandra Beznosova, Alexander Reznikov
In this paper we prove self-improvement properties of strong Muckenhoupt and Reverse Hölder weights with respect to a general Radon measure on . We derive our result…
Perfect dyadic operators: weighted T(1) theorem and two weight estimates
Oleksandra V. Beznosova
Perfect dyadic operators were first introduced in \cite{AHMTT}, where a local theorem was proved for such operators. In \cite{AY} it was shown that for every singular integr…
On two weight estimates for dyadic operators
Oleksandra Beznosova, Daewon Chung, Jean Carlo Moraes +1
We provide a quantitative two weight estimate for the dyadic paraproduct under certain conditions on a pair of weights and in , a new class of functio…
Mutual estimates for the dyadic Reverse Hölder and Muckenhoupt constants for the dyadically doubling weights
Oleksandra Beznosova, Temitope Ode
Muckenhoupt and Reverse Hölder classes of weights play an important role in harmonic analysis, PDE's and quasiconformal mappings. In 1974 Coifman and Fefferman showed that a weight…
Continuity of halo functions associated to homothecy invariant density bases
Oleksandra V. Beznosova, Paul A. Hagelstein
Let be a collection of open sets in such that, for any , there exists a set of arbitrarily small diameter {…
Sharp bounds for -Haar multipliers on
Oleksandra Beznosova, Jean Carlo Moraes, Maria Cristina Pereyra
We show that if a weight and there is such that , then the -norm of the -Haar multiplier of complexity associated to dep…