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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Showing 2020 · math.FAShow all

4 papers · 2 filters

math.FA2020

An estimate for narrow operators on $L^{p} ([0, 1])$

Eugene Shargorodsky, Teo Sharia

We prove a theorem, which generalises C. Franchetti's estimate for the norm of a projection onto a rich subspace of $L^{p} ([0, 1])$ and the authors' related estimate for compact oper…

math.FA2020

On the essential norms of Toeplitz operators with continuous symbols

Eugene Shargorodsky

It is well known that the essential norm of a Toeplitz operator on the Hardy space $H^{p} (T)$ , $1 < p < \infty$ is greater than or equal to the $L^{\infty} (T)$ norm o…

math.FA2020

Algebras of convolution type operators with continuous data do not always contain all rank one operators

Alexei Karlovich, Eugene Shargorodsky

Let $X (R)$ be a separable Banach function space such that the Hardy-Littlewood maximal operator is bounded $X (R)$ and on its associate space $X^{'} (R)$ . The…

math.FA2020

Multiplication is an open bilinear mapping in the Banach algebra of functions of bounded Wiener p-variation

Tiago Canarias, Alexei Karlovich, Eugene Shargorodsky

Let $B V_{p} [0, 1]$ , $1 \leq p < \infty$ , be the Banach algebra of functions of bounded $p$ -variation in the sense of Wiener. Recently, Kowalczyk and Turowska \cite{KT19} proved that the m…

An estimate for narrow operators on Lp([0,1])

On the essential norms of Toeplitz operators with continuous symbols

Algebras of convolution type operators with continuous data do not always contain all rank one operators

Multiplication is an open bilinear mapping in the Banach algebra of functions of bounded Wiener p-variation

An estimate for narrow operators on $L^{p} ([0, 1])$