Lenka Slav'ikov'a

activity

20132022

s \to 0^{+}

of fractional Orlicz-Sobolev spaces

4 citations · 7 across the 7 of their papers we have counts for

collaborators

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7 papers · 1 filter

math.CA2021

Local bounds for singular Brascamp-Lieb forms with cubical structure

Polona Durcik, Lenka Slavíková, Christoph Thiele

We prove a range of $L^{p}$ bounds for singular Brascamp-Lieb forms with cubical structure. We pass through sparse and local bounds, the latter proved by an iteration of Fourier expa…

math.CA2020

A sharp variant of the Marcinkiewicz theorem with multipliers in Sobolev spaces of Lorentz type

Loukas Grafakos, Mieczysław Mastyło, Lenka Slavíková

Given a bounded measurable function $σ$ on $R^{n}$ , we let $T_{σ}$ be the operator obtained by multiplication on the Fourier transform by $σ$ . Let $0<s_1\le s_2\le \cdots \le…

math.CA2019

Bilinear Fourier multipliers and the rate of decay of their derivatives

Lenka Slavíková

We investigate two types of boundedness criteria for bilinear Fourier multiplier operators with symbols with bounded partial derivatives of all (or sufficiently many) orders. Theor…

math.CA2018

On the failure of the Hörmander multiplier theorem in a limiting case

Lenka Slavíková

We discuss the Hörmander multiplier theorem for $L^{p}$ boundedness of Fourier multipliers in which the multiplier belongs to a fractional Sobolev space with smoothness $s$ . We show…

math.CA2018★ 1 cited

$L^{2} \times L^{2} \to L^{1}$ boundedness criteria

Loukas Grafakos, Danqing He, Lenka Slavíková

We obtain a sharp $L^{2} \times L^{2} \to L^{1}$ boundedness criterion for a class of bilinear operators associated with a multiplier given by a signed sum of dyadic dilations of a given…

math.CA2017

A sharp version of the Hörmander multiplier theorem

Loukas Grafakos, Lenka Slavíková

We provide an improvement of the Hörmander multiplier theorem in which the Sobolev space $L_{s}^{r} (R^{n})$ with integrability index $r$ and smoothness index $s > n / r$ is replaced…

math.CA2015

On the necessity of bump conditions for the two-weighted maximal inequality

Lenka Slavíková

We study the necessity of bump conditions for the boundedness of the Hardy-Littlewood maximal operator $M$ from $L^{p} (v)$ into $L^{p} (w)$ , where $1 < p < \infty$ . The conditions in questi…

Local bounds for singular Brascamp-Lieb forms with cubical structure

A sharp variant of the Marcinkiewicz theorem with multipliers in Sobolev spaces of Lorentz type

Bilinear Fourier multipliers and the rate of decay of their derivatives

On the failure of the Hörmander multiplier theorem in a limiting case

L2×L2→L1 boundedness criteria

A sharp version of the Hörmander multiplier theorem

On the necessity of bump conditions for the two-weighted maximal inequality

$L^{2} \times L^{2} \to L^{1}$ boundedness criteria