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 · 1 filter

math.FA2024

The essential norms of Toeplitz operators with symbols in $C + H^{\infty}$ on weighted Hardy spaces are independent of the weights

Oleksiy Karlovych, Eugene Shargorodsky

Let $1 < p < \infty$ , let $H^{p}$ be the Hardy space on the unit circle, and let $H^{p} (w)$ be the Hardy space with a Muckenhoupt weight $w \in A_{p}$ on the unit circle. In 1988, Böttcher, K…

math.FA2024

On the essential norms of Toeplitz operators on abstract Hardy spaces built upon Banach function spaces

Oleksiy Karlovych, Eugene Shargorodsky

Let $X$ be a Banach function space over the unit circle such that the Riesz projection $P$ is bounded on $X$ and let $H [X]$ be the abstract Hardy space built upon $X$ . We show that…

math.AP2024

An extension of the Liouville theorem for Fourier multipliers to sub-exponentially growing solutions

David Berger, René L. Schilling, Eugene Shargorodsky +1

We study the equation $m (D) f = 0$ in a large class of sub-exponentially growing functions. Under appropriate restrictions on $m \in C (R^{n})$ , we show that every such soluti…

The essential norms of Toeplitz operators with symbols in C+H∞ on weighted Hardy spaces are independent of the weights

On the essential norms of Toeplitz operators on abstract Hardy spaces built upon Banach function spaces

An extension of the Liouville theorem for Fourier multipliers to sub-exponentially growing solutions

The essential norms of Toeplitz operators with symbols in $C + H^{\infty}$ on weighted Hardy spaces are independent of the weights