Egor Ignatev

collaborators

2 papers

math.AP2026

Truncations for fractional Laplacians

Egor Ignatev, Alexander I. Nazarov, Pavel Nichitenko +1

Let $Ω \subset R^{n}$ be a bounded Lipschitz domain. We prove and widely generalize a conjecture of A.\,I.~Nazarov \cite{Naz21}: for $s \in (1, \frac{3}{2})$ the quadratic form $Q^{\…

math.FA2026

The power set of a quasinilpotent backward weighted shift

Egor Ignatev

For a quasinilpotent operator $T$ on a Banach space $X$ , R. Douglas and R. Yang associated with each nonzero vector $x$ the local resolvent-growth exponent $k_{x}$ , and introduced th…