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.FA2016

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 $π_{b}$ under certain conditions on a pair of weights $(u; v)$ and $b$ in $C a r l_{u, v}$ , a new class of functio…

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.FA2007★ 54 cited

Linear bound for the dyadic paraproduct on weighted Lebesgue space $L_{2} (w)$

Oleksandra V. Beznosova

The dyadic paraproduct is bounded in weighted Lebesgue spaces $L_{p} (w)$ if and only if the weight $w$ belongs to the Muckenhoupt class $A_{p}^{d}$ . However, the sharp bounds on the norm…

On two weight estimates for dyadic operators

Continuity of halo functions associated to homothecy invariant density bases

Sharp bounds for t-Haar multipliers on L2

Linear bound for the dyadic paraproduct on weighted Lebesgue space L2​(w)

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

Linear bound for the dyadic paraproduct on weighted Lebesgue space $L_{2} (w)$