Filip Soudský

activity

20182024

most citedOptimal Gagliardo-Nirenberg interpolation inequality for rearrangement invariant spaces

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

collaborators

4 papers

math.FA2024

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…

math.FA2022★ 2 cited

Optimal Gagliardo-Nirenberg interpolation inequality for rearrangement invariant spaces

Karol Lesnik, Tomas Roskovec, Filip Soudsky

We prove optimality of the Gagliardo-Nirenberg inequality $∥\nabla u ∥_{X} ≲ ∥ \nabla^{2} u ∥_{Y}^{1/2} ∥ u ∥_{Z}^{1/2},$ where $Y, Z$ are rearrangement invariant Banach functio…

math.AP2020

Diffeomorphic approximation of Planar Sobolev Homeomorphisms in rearrangement invariant spaces

Daniel Campbell, Luigi Greco, Roberta Schiattarella +1

Let $Ω \subseteq R^{2}$ be a domain, let $X$ be a rearrangement invariant space and let $f \in W^{1} X (Ω, R^{2})$ be a homeomorphism between $Ω$ and $f (Ω)$ . Then there e…

math.FA2018

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…