3 papers
math.CO2024
On a Conjecture on Sharygin Triangles
Nikolay Osipov
By a simple method we prove the following conjecture on Sharygin triangles: there is only one Sharygin triangle (up to an isometry) whose vertices are chosen from the set of vertic…
math.FA2023
Bellman function method for general operators on martingales: arbitrary regular filtrations
Nikolay N. Osipov
It has been recently shown that the Bellman function method can be applied in the general context of Gundy's extrapolation theorem for vector-valued martingales. But the additional…
math.FA2017
Two types of Rubio de Francia operators on Triebel--Lizorkin and Besov spaces
Eugenia Malinnikova, Nikolay N. Osipov
We discuss generalizations of Rubio de Francia's inequality for Triebel--Lizorkin and Besov spaces, continuing the research from [5]. Two versions of Rubio de Francia's operator ar…