S. Barza

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math.CA2026

A variation on the PÃ³lya-SegÅ principle in one dimension

Sorina Barza, Martin Lind

We prove a PÃ³lya-SzegÅ principle for the Riesz $(p, I^\pm)$ -variation, a scale of fractional smoothness interpolating between bounded $p$ -variation and the Sobolev space $W^{1, p}$ . 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 $f$ and arbitrary $I^µ > 0$ , we construct a Lipschitz perturbation $g_{I^} µ$ …

A variation on the PÃ³lya-SegÅ principle in one dimension

Eliminating positive-measure level sets by small Lipschitz perturbations

A variation on the PÃ³lya-SegÅ principle in one dimension