O. Beznosova

activity

20072018

most citedLinear bound for the dyadic paraproduct on weighted Lebesgue space

L_{2} (w)

54 citations · 94 across the 8 of their papers we have counts for

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4 papers · 1 filter

math.CA2018

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 $R^{n}$ . We derive our result…

math.CA2014

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…

math.CA2012★ 4 cited

Equivalent definitions of dyadic Muckenhoupt and Reverse Hölder classes in terms of Carleson sequences, weak classes, and comparability of dyadic $L lo g L$ and $A_{\infty}$ constants

Oleksandra Beznosova, Alexander Reznikov

In the dyadic case the union of the Reverse Hölder classes, $R H_{p}^{d}$ is strictly larger than the union of the Muckenhoupt classes $A_{p}^{d}$ . We introduce the $R H_{1}^{d}$ condition as a…

math.CA2011★ 6 cited

Sharp estimates involving $A_{\infty}$ and $L l o g L$ constants, and their applications to PDE

Alexander Reznikov, Oleksandra Beznosova

It is a well known fact that the union of the Reverse Hölder classes coincides with the union of the Muckenhoupt classes $A_{p}$ , but the $A_{\infty}$ constant of the weight $w$ , which…

Dimension free properties of strong Muckenhoupt and Reverse Hölder weights for Radon measures

Mutual estimates for the dyadic Reverse Hölder and Muckenhoupt constants for the dyadically doubling weights

Equivalent definitions of dyadic Muckenhoupt and Reverse Hölder classes in terms of Carleson sequences, weak classes, and comparability of dyadic LlogL and A∞​ constants

Sharp estimates involving A∞​ and LlogL constants, and their applications to PDE

Equivalent definitions of dyadic Muckenhoupt and Reverse Hölder classes in terms of Carleson sequences, weak classes, and comparability of dyadic $L lo g L$ and $A_{\infty}$ constants

Sharp estimates involving $A_{\infty}$ and $L l o g L$ constants, and their applications to PDE