12 citations · 41 across the 31 of their papers we have counts for
4 papers · 1 filter
Alberti's type rank one theorem for martingales
Rami Ayoush, Dmitriy Stolyarov, Michał Wojciechowski
We prove that the polar decomposition of the singular part of a vector measure depends on its conditional expectations computed with respect to the -regular filtration. This dep…
A trace inequality for solenoidal charges
Bogdan Raita, Daniel Spector, Dmitriy Stolyarov
We prove that for , one has the trace inequality \begin{align*} \int_{\mathbb{R}^d} |I_αF| \;dν\leq C |F|(\mathbb{R}^d)\|ν\|_{\mathcal{M}^{d-α}(\mathbb{R}^d)} \end{al…
Differential expressions with mixed homogeneity and spaces of smooth functions they generate
S. V. Kislyakov, D. V. Maksimov, D. M. Stolyarov
Let be a collection of differential operators with constant coefficients on the torus . Consider the Banach space of functions on the torus fo…
New correction theorems in the light of a weighted Littlewood--Paley--Rubio de Francia inequality
D. M. Stolyarov
We prove the following correction theorem: every function on the circumference that is bounded by the -weight (this means that ) can be m…