A. Kulikov

collaborators

4 papers

math.FA2025

Frames for compactly supported functions with irrational density

Yurii Belov, Aleksei Kulikov

We find sufficient conditions on a compactly supported function $g$ , $\supp g = [a,b]$ which guarantee that the Gabor system $$\mathcal{G}(g;Î±,Î²)=\{e^{2Ïi Î²m x}g(x-Î±n)\}_{m,n\…

math.CV2025

Contractive Hardy--Littlewood inequalities in the Dirichlet range

Ole Fredrik Brevig, Aleksei Kulikov, Kristian Seip +1

The class $A_{I^} \pm^{p}$ consists of those analytic functions $f$ in the unit disc such that \[\|f\|_{Î±,p}^p := |f(0)|^p+\int_0^1 \left(\frac{d}{dr} M_p^p(r,f)\right) (1-r^2)^{Î±-1} \,d…

math.FA2025

Gabor frames for functions supported on a semi-axis

Yurii Belov, Aleksei Kulikov

Let $g \in L^{2} (R)$ be a strictly decreasing continuous function supported on $R_{+}$ such that for all $t > 0$ we have $g (x + t) \leq q (t) g (x)$ for some $q (t) < 1$ . We pro…

math.FA2024

Fekete's lemma in Banach spaces

Aleksei Kulikov, Feng Shao

For a sequence of vectors ${v_{n}}_{n \in N}$ in the uniformly convex Banach space $X$ which for all $n, m \in N$ satisfy $∥ v_{n + m} ∥ \leq ∥ v_{n} + v_{m} ∥$ we show the…