D. Stolyarov

activity

20092023

most citedAnisotropic Ornstein non inequalities

12 citations · 41 across the 31 of their papers we have counts for

collaborators

Showing 2016Show all

2 papers · 1 filter

math.CV2016★ 1 cited

Uniform approximation of Bloch functions and the boundedness of the integration operator on $H^{\infty}$

Wayne Smith, Dmitriy M. Stolyarov, Alexander Volberg

We obtain a necessary and sufficient condition for the operator of integration to be bounded on $H^{\infty}$ in a simply connected domain. The main ingredient of the proof is a new r…

math.CA2016★ 2 cited

Functions whose Fourier transform vanishes on a surface

Dmitriy M. Stolyarov

We study the subspaces of $L_{p} (R^{d})$ that consist of functions whose Fourier transforms vanish on a smooth surface of codimension $1$ . We show that a subspace defined in s…

Uniform approximation of Bloch functions and the boundedness of the integration operator on H∞

Functions whose Fourier transform vanishes on a surface

Uniform approximation of Bloch functions and the boundedness of the integration operator on $H^{\infty}$