17 citations · 23 across the 8 of their papers we have counts for
9 papers
On the properties of rearrangement-invariant quasi-Banach function spaces
Anna Musilová, Aleš Nekvinda, Dalimil Peša +1
This paper explores some important aspects of the theory of rearrangement-invariant quasi-Banach function spaces. We focus on two main topics. Firstly, we prove an analogue of the…
The Dirichlet problem for the -Laplacian with unbounded exponent
M. Khamsi, J. Lang, O. Mendez +1
We prove the solvability of the Dirichlet problem for the variable exponent -Laplacian with boundary data in on a bounded, smooth domain …
Embeddings between sequence variable Lebesgue spaces, strict and finitely strict singularity
Jan Lang, Ales Nekvinda
In this paper, we provide necessary and sufficient conditions under which two sequence variable Lebesgue spaces and are equivalent and also describe condi…
Characterization of functions with zero traces via the distance function and Lorentz spaces
Aleš Nekvinda, Hana Turčinová
Consider a regular domain and let . Denote the space of functions from having a…
Efficient numerical method for reliable upper and lower bounds on homogenized parameters
Liya Gaynutdinova, Martin Ladecký, Aleš Nekvinda +2
A numerical procedure providing guaranteed two-sided bounds on the effective coefficients of elliptic partial differential operators is presented. The upper bounds are obtained in…
Embeddings between Lorenz sequence spaces are strictly singular
Jan Lang, Ales Nekvinda
Given and we consider the natural embedding between Lorenz sequence spaces. We prove that this non-compac…
Almost-compact and compact embeddings of variable exponent spaces
D. E. Edmunds, A. Gogatishvili, A. Nekvinda
Let be an open subset of , and let be measurable functions. We give a necessary and sufficient condition for the…
On the properties of quasi-Banach function spaces
Aleš Nekvinda, Dalimil Peša
In this paper we explore some basic properties of quasi-Banach function spaces which are important in applications. Namely, we show that they posses a generalised version of Riesz-…
Properties of functions with monotone graphs
Ondřej Zindulka, Michael Hrušák, Tamás Mátrai +2
A metric space (X,d) is monotone if there is a linear order < on X and a constant c>0 such that d(x,y) < c d(x,z) for all x<y<z in X. Properties of continuous functions with monoto…