45 citations · 78 across the 9 of their papers we have counts for
9 papers
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.
A simple upper bound for Lebesgue constants associated with Leja points on the real line
Vladimir Andrievskii, Fedor Nazarov
Let be a regular compact set and let be the Green function for with pole…
The sharp upper bound for the area of the nodal sets of Dirichlet Laplace eigenfunctions
A. Logunov, E. Malinnikova, N. Nadirashvili +1
Let be a bounded domain in with boundary and let be a Dirichlet Laplace eigenfunction in with eigenvalue . We show that the -dimensio…
Global Regularity for the Critical Dispersive Dissipative Surface Quasi-Geostrophic Equation
Alexander Kiselev, Fedor Nazarov
We consider surface quasi-geostrophic equation with dispersive forcing and critical dissipation. We prove global existence of smooth solutions given sufficiently smooth initial dat…
The power law for the Buffon needle probability of the four-corner Cantor set
Fedor Nazarov, Yuval Peres, Alexander Volberg
Let be the -th generation in the construction of the middle-half Cantor set. The Cartesian square of consists of squares of side-length . The cha…
Reflectionless measures with a point mass and singular continuous component
F. Nazarov, A. Volberg, P. Yuditskii
We construct mesures supported on a compact subset E of the real line having zero principal value of their Cauchy integral a.e. on E with respect to Lebesgue measure and having sin…