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math.FA2022★ 7 cited
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…
math.FA2022
Embeddings between generalized weighted Lorentz spaces
Amiran Gogatishvili, Zdeněk Mihula, Luboš Pick +2
We give a new characterization of a continuous embedding between two function spaces of type . Such spaces are governed by functionals of type \begin{equation*} \|f\|_{GΓ(r,q;w…