E. Shargorodsky

collaborators

3 papers

math.FA2026

Lower estimates for the norm and the Kuratowski measure of noncompactness of Wiener-Hopf type operators

Oleksiy Karlovych, Eugene Shargorodsky

Let $X (R^{n})$ be a Banach function space and $I^c ◯ \subseteq R^{n}$ be a measurable set of positive measure. For a Fourier multiplier $a$ on $X (R^{n})$ , consider…

math.FA2025

Maximal Noncompactness of Wiener-Hopf Operators

Oleksiy Karlovych, Eugene Shargorodsky

Let $X (R)$ be a separable translation-invariant Banach function space and $a$ be a Fourier multiplier on $X (R)$ . We prove that the Wiener-Hopf operator $W (a)$ wit…

math.FA2025

Morrey spaces over the unit circle cannot be renormed to become rearrangement-invariant

Oleksiy Karlovych, Eugene Shargorodsky

Let $1 \leq p < \infty$ and $0 < I^» < 1$ . We consider the classical Morrey space $L^{p, I^»} (T)$ over the unit circle $T$ . We show that there are equimeasurable functions $…