6 citations · 6 across the 4 of their papers we have counts for
4 papers
On the Central Maximal Function in
Alexey Solyanik
We study the central Hardy--Littlewood maximal operator in for all , with particular emphasis on the question of its injectivity. More precisely, we co…
A-stabilization and the ranges of complex polynomials on the unit disk
Alexey Solyanik
Problems of stabilization of the unstable cycle of one-dimensional complex dynamical system are briefly discussed. These questions reduced to the problem of description of the rang…
Note on the best approximation in metric
Alexey Solyanik
We present one of the approaches to find the best approximation of the given function by trigonometric polynomials in metric and applied it to find the optimal constants in t…
Note on the covering theorem for complex polynomials
Alexey Solyanik
In this note we give the answer to the question posed by V. N. Dubinin concerning covering properties of complex polynomials