L. Pick

most citedSobolev embeddings, rearrangement-invariant spaces and Frostman measures

21 citations · 25 across the 2 of their papers we have counts for

collaborators

4 papers

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.FA2019★ 21 cited

Sobolev embeddings, rearrangement-invariant spaces and Frostman measures

Andrea Cianchi, Luboš Pick, Lenka Slavíková

Sobolev embeddings, of arbitrary order, are considered into function spaces on domains of $R^{n}$ endowed with measures whose decay on balls is dominated by a power $d$ of th…

math.FA2019

Weighted inequalities for discrete iterated Hardy operators

Amiran Gogatishvili, Martin Křepela, Rastislav Oľhava +1

We characterize a three-weight inequality for an iterated discrete Hardy-type operator. In the case when the domain space is a weighted space $ℓ^{p}$ with $p \in (0, 1]$ , we develop…

math.FA2019

Boundedness of classical operators on rearrangement-invariant spaces

David E. Edmunds, Zdeněk Mihula, Vít Musil +1

We study the behaviour on rearrangement-invariant spaces of such classical operators of interest in harmonic analysis as the Hardy-Littlewood maximal operator (including the fracti…

On the limit as s→0+ of fractional Orlicz-Sobolev spaces

Sobolev embeddings, rearrangement-invariant spaces and Frostman measures

Weighted inequalities for discrete iterated Hardy operators

Boundedness of classical operators on rearrangement-invariant spaces

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