N. Nikitin

activity

20152019

most citedMeasurable regularity of infinite-dimensional Lie groups based on Lusin measurability

2 citations · 3 across the 2 of their papers we have counts for

collaborators

3 papers

math.FA2019★ 2 cited

Measurable regularity of infinite-dimensional Lie groups based on Lusin measurability

Natalie Nikitin

We discuss Lebesgue spaces $L^{p} ([a, b], E)$ of Lusin measurable vector-valued functions and the corresponding vector spaces $A C_{L^{p}} ([a, b], E)$ of absolutely continuous fun…

math.FA2016★ 1 cited

Exponential laws for spaces of differentiable functions on topological groups

Natalie Nikitin

Smooth functions $f : G \to E$ from a topological group $G$ to a locally convex space $E$ were considered by Riss (1953), Boseck, Czichowski and Rudolph (1981), Beltiţă and Nicolae (2…

math.FA2015

Exponential laws for weighted function spaces and regularity of weighted mapping groups

Natalie Nikitin

Let $E$ be a locally convex space, $U \subseteq R^{n}$ as well as $V \subseteq R^{m}$ be open and $k, l \in N_{0} \cup {\infty}$ . Locally convex spaces $C^…