Lenka Slav'ikov'a

activity

20172020

s \to 0^{+}

of fractional Orlicz-Sobolev spaces

4 citations · 4 across the 2 of their papers we have counts for

collaborators

7 papers

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.FA2020★ 4 cited

On the limit as $s \to 0^{+}$ of fractional Orlicz-Sobolev spaces

Angela Alberico, Andrea Cianchi, Luboš Pick +1

An extended version of the Maz'ya-Shaposhnikova theorem on the limit as $s \to 0^{+}$ of the Gagliardo-Slobodeckij fractional seminorm is established in the Orlicz space setting. Our…

math.FA2020

Fractional Orlicz-Sobolev embeddings

Angela Alberico, Andrea Cianchi, Luboš Pick +1

The optimal Orlicz target space is exhibited for embeddings of fractional-order Orlicz-Sobolev spaces in $R^{n}$ . An improved embedding with an Orlicz-Lorentz target space, w…

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

$L^{2} \times L^{2} \to L^{1}$ 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…