7 citations · 10 across the 7 of their papers we have counts for
7 papers
Gagliardo-Nirenberg inequality via a new pointwise estimate
Karol Lesnik, Tomas Roskovec, Filip Soudsky
We prove a new type of pointwise estimate of the Kalamajska-Mazya-Shaposhnikova type, where sparse averaging operators replace the maximal operator. It allows us to extend the Gagl…
Non-linear Gagliardo--Nirenberg inequality involving a second-order elliptic operator in non-divergent form
Agnieszka Kałamajska, Dalimil Peša, Tomáš Roskovec
We obtain the inequalities of the form where $Ω…
Optimal Gagliardo-Nirenberg interpolation inequality for rearrangement invariant spaces
Karol Lesnik, Tomas Roskovec, Filip Soudsky
We prove optimality of the Gagliardo-Nirenberg inequality where are rearrangement invariant Banach functio…
Hausdorff measure of critical set for Luzin condition
Anna Doležalová, Marika Hrubešová, Tomáš Roskovec
It is well-known that there is a Sobolev homeomorphism for any which maps a set of zero Lebesgue -dimensional measure onto the set of…
Regularity of the inverse mapping in Banach function spaces
Anastasia Molchanova, Tomáš Roskovec, Filip Soudský
We study the regularity properties of the inverse of a bilipschitz mapping belonging , where is an arbitrary Banach function space. Namely, we prove tha…
Gagliardo-Nirenberg Inequality for rearrangement-invariant Banach function spaces
Alberto Fiorenza, Maria Rosaria Formica, Tomas Roskovec +1
The classical Gagliardo-Nirenberg interpolation inequality is a well-known estimate which gives, in particular, an estimate for the Lebesgue norm of intermediate derivatives of fun…
Interpolation between H\" older and Lebesgue spaces with applications
Anastasia Molchanova, Tomáš Roskovec, Filip Soudský
Classical interpolation inequality of the type is well known in the case when , , are Lebesgue spaces. In this paper we show t…