3 papers
math.CA2026
A variation on the Pólya-SegŠprinciple in one dimension
Sorina Barza, Martin Lind
We prove a Pólya-SzegÅ principle for the Riesz -variation, a scale of fractional smoothness interpolating between bounded -variation and the Sobolev space . I…
math.CA2026
Eliminating positive-measure level sets by small Lipschitz perturbations
Sorina Barza, Martin Lind
We establish a new regularity phenomenon of continuous functions. Specifically, given any continuous function and arbitrary , we construct a Lipschitz perturbation …
math.FA2026
Discrete reversed Hardy inequalities and Hölder estimates in Lorentz sequence spaces
Sorina Barza, Anca-Nicoleta Marcoci, Liviu-Gabriel Marcoci
We prove sharp reversed Hardy-type inequalities on the cone of decreasing sequences in weighted -spaces with power weights, applying them to estimate standard norms in Lore…