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

collaborators

Showing 2012Show all

3 papers · 1 filter

math.FA2012

Continuity of halo functions associated to homothecy invariant density bases

Oleksandra V. Beznosova, Paul A. Hagelstein

Let $B$ be a collection of open sets in $R^{n}$ such that, for any $x \in R^{n}$ , there exists a set $U \in B$ of arbitrarily small diameter {…

math.FA2012★ 30 cited

Sharp bounds for $t$ -Haar multipliers on $L^{2}$

Oleksandra Beznosova, Jean Carlo Moraes, Maria Cristina Pereyra

We show that if a weight $w \in C_{2 t}^{d}$ and there is $q > 1$ such that $w^{2 t} \in A_{q}^{d}$ , then the $L^{2}$ -norm of the $t$ -Haar multiplier of complexity $(m, n)$ associated to $w$ dep…

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…

Continuity of halo functions associated to homothecy invariant density bases

Sharp bounds for t-Haar multipliers on L2

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 bounds for $t$ -Haar multipliers on $L^{2}$

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