56 citations · 317 across the 50 of their papers we have counts for
55 papers
The matrix conjecture fails, i.e.
Komla Domelevo, Stefanie Petermichl, Sergei Treil +1
We show that the famous matrix conjecture is false: the norm of the Hilbert Transform in the space with matrix weight is estimated below by .
An inverse spectral problem for non-compact Hankel operators with simple spectrum
Patrick Gérard, Alexander Pushnitski, Sergei Treil
We consider an inverse spectral problem for a class of non-compact Hankel operators such that the modulus of (restricted onto the orthogonal complement to its kernel) has s…
A Dynamical System Approach To The Inverse Spectral Problem For Hankel Operators: The General Case
Zhehui Liang, Sergei Treil
We study the inverse problem for the Hankel operators in the general case. Following the work of Gérard--Grellier, the spectral data is obtained from the pair of Hankel operators $…
The matrix-weighted dyadic convex body maximal operator is not bounded
F. Nazarov, S. Petermichl, K. A. Škreb +1
The convex body maximal operator is a natural generalisation of the Hardy Littlewood maximal operator. In the presence of a matrix weight it is not bounded.
Dyadic bi-parameter repeated commutator and dyadic product BMO
Irina Holmes, Sergei Treil, Alexander Volberg
Consider a tensor product of simple dyadic shifts defined below. We prove here that for dyadic bi-parameter repeated commutator its norm can be estimated from below by Chang-Feffer…
Dyadic bi-parameter simple commutator and dyadic little BMO
Irina Holmes, Sergei Treil, Alexander Volberg
Let $\bfT$ is a certain tensor product of simple dyadic shifts defined below. We prove here that for dyadic bi-parameter commutator the following equivalence holds $ \|\bfT b-b \bf…