E. Shargorodsky

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20012025

most citedOn negative eigenvalues of two-dimensional Schrödinger operators

20 citations · 47 across the 23 of their papers we have counts for

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3 papers · 2 filters

math.FA2025

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 $Ω \subseteq R^{n}$ be a measurable set of positive measure. For a Fourier multiplier $a$ on $X (R^{n})$ , consider t…

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 $0 < λ < 1$ . We consider the classical Morrey space $L^{p, λ} (T)$ over the unit circle $T$ . We show that there are equimeasurable functions $f,…