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math.FA2020★ 4 cited
Discretization and antidiscretization of Lorentz norms with no restrictions on weights
Martin Křepela, Zdeněk Mihula, Hana Turčinová
We improve the discretization technique for weighted Lorentz norms by eliminating all "non-degeneracy" restrictions on the involved weights. We use the new method to provide equiva…
math.FA2020★ 6 cited
Basic functional properties of certain scale of rearrangement-invariant spaces
Hana Turčinová
Let be a rearrangement-invariant space over a non-atomic -finite measure space and let . We define the functional \begin{equation*} \|f\|_{…