11 citations · 29 across the 11 of their papers we have counts for
14 papers
Monotone rearrangement in averaging classes
Marat Abdrakhmanov, Leonid Slavin, Pavel Zatitskii
We consider a general collection of function classes on the interval defined in terms of certain averages and show that monotone rearrangement does not increase the class c…
Monotone rearrangement does not increase generalized Campanato norm in VMO
Leonid Slavin, Pavel Zatitskii
We consider a quantitative version of the space VMO on an interval, equipped with a quadratic Campanato-type norm, and prove that monotone rearrangement does not increase the norm…
Dimension-free estimates for semigroup BMO and
Leonid Slavin, Pavel Zatitskii
Let be either the heat or the Poisson kernel on Let stand either for BMO equipped with the quadratic seminorm or for We…
The action of the maximal operator on -trees
Adam Osȩkowski, Leonid Slavin, Vasily Vasyunin
We obtain the explicit upper Bellman function for the natural dyadic maximal operator acting from into As a consequence, we sho…
The John--Nirenberg constant of ,
Leonid Slavin, Vasily Vasyunin
This paper is a continuation of earlier work by the first author who determined the John--Nirenberg constant of for the range Here, we c…
Cincinnati lectures on Bellman functions
Leonid Slavin, Vasily Vasyunin
In January-March 2011, the Department of Mathematical Science at the University of Cincinnati held a Taft Research Seminar "Bellman function method in harmonic analysis." The semin…