10 citations · 12 across the 4 of their papers we have counts for
4 papers
Bellman Function and the Duality
Leonid Slavin, Alexander Volberg
A Bellman function approach to Fefferman's duality theorem is presented. One Bellman-type argument is used to handle two different one-dimensional cases, dyadic and conti…
Monge--Ampère equation and Bellman optimization of Carleson Embedding Theorems
Vasily Vasyunin, Alexander Volberg
Monge--Ampère equation plays an important part in Analysis. For example, it is instrumental in mass transport problems. On the other hand, the Bellman function technique appeared r…
Vector-valued Riesz potentials: Cartan type estimates and related capacities
V. Eiderman, F. Nazarov, A. Volberg
There are many interesting problems about the electrostatic potential of finitely many charges. We consider one of them concerning the intensity of the field, in other words, about…
Uniqueness theorems for Cauchy integrals
Mark Melnikov, Alexei Poltoratski, Alexander Volberg
If is a finite complex measure in the complex plane $\C$ we denote by its Cauchy integral defined in the sense of principal value. The measure is called reflectionles…