11 citations · 43 across the 15 of their papers we have counts for
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Quantitative analysis of optimal Sobolev-Lorentz embeddings with -homogeneous weights
Petr Gurka, Jan Lang, Zdeněk Mihula
Optimal weighted Sobolev-Lorentz embeddings with homogeneous weights in open convex cones are established, with the exact value of the optimal constant. These embeddings are non-co…
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…
Different degrees of non-compactness for optimal Sobolev embeddings
Jan Lang, Zdeněk Mihula
The structure of non-compactness of optimal Sobolev embeddings of -th order into the class of Lebesgue spaces and into that of all rearrangement-invariant function spaces is qua…
Embedding between Lebesgue and weak Lebesgue sequence spaces is strictly singular
Jan Lang, Aleš Nekvinda
Given it is well know that the natural embedding of Lebesgue sequence spaces is strictly singular. In this paper we extend this…
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…
Compactness of Sobolev embeddings and decay of norms
Jan Lang, Zdeněk Mihula, Luboš Pick
We investigate the relationship between the compactness of embeddings of Sobolev spaces built upon rearrangement-invariant spaces into rearrangement-invariant spaces endowed with $…