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

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math.FA2022

Boundedness of functions in fractional Orlicz-Sobolev spaces

Angela Alberico, Andrea Cianchi, Luboš Pick +1

A necessary and sufficient condition for fractional Orlicz-Sobolev spaces to be continuously embedded into $L^{\infty} (R^{n})$ is exhibited. Under the same assumption, any func…

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.FA2015★ 1 cited

Norms supporting the Lebesgue differentiation theorem

Paola Cavaliere, Andrea Cianchi, Luboš Pick +1

A version of the Lebesgue differentiation theorem is offered, where the $L^{p}$ norm is replaced with any rearrangement-invariant norm. Necessary and sufficient conditions for a norm…

math.FA2015

Banach algebras of weakly differentiable functions

Andrea Cianchi, Luboš Pick, Lenka Slavíková

The question is addressed of when a Sobolev type space, built upon a general rearrangement-invariant norm, on an $n$ -dimensional domain, is a Banach algebra under pointwise multipl…

math.FA2013★ 1 cited

Compactness of higher-order Sobolev embeddings

Lenka Slavíková

We study higher-order compact Sobolev embeddings on a domain $Ω \subseteq R^{n}$ endowed with a probability measure $ν$ and satisfying certain isoperimetric inequality. Given…

math.FA2013

Higher-order Sobolev embeddings and isoperimetric inequalities

Andrea Cianchi, Luboš Pick, Lenka Slavíková

Optimal higher-order Sobolev type embeddings are shown to follow via isoperimetric inequalities. This establishes a higher-order analogue of a well-known link between first-order S…

Boundedness of functions in fractional Orlicz-Sobolev spaces

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

Fractional Orlicz-Sobolev embeddings

Norms supporting the Lebesgue differentiation theorem

Banach algebras of weakly differentiable functions

Compactness of higher-order Sobolev embeddings

Higher-order Sobolev embeddings and isoperimetric inequalities

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