511 citations · 899 across the 64 of their papers we have counts for
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Non-uniqueness of convex bodies with prescribed volumes of sections and projections
Fedor Nazarov, Dmitry Ryabogin, Artem Zvavitch
We show that if is even, then one can find two essentially different convex bodies such that the volumes of their maximal sections, central sections, and projections coinc…
The -Riesz transform of an -dimensional measure in is unbounded for
Vladimir Eiderman, Fedor Nazarov, Alexander Volberg
In this paper, we prove that for there exists no totally lower irregular finite positive Borel measure in with\break $\mathcal H^s(\suppμ)<+\infty$ such that…
A simple energy pump for the surface quasi-geostrophic equation
Alexander Kiselev, Fedor Nazarov
We consider the question of growth of high order Sobolev norms of solutions of the conservative surface quasi-geostrophic equation. We show that if is large then for every gi…
The proof of conjecture in a geometrically doubling metric space
Fedor Nazarov, Alexander Reznikov, Alexander Volberg
We give a proof of the conjecture in geometrically doubling metric spaces (GDMS), i.e. a metric space where one can fit not more than a fixed amount of disjoint balls of radi…
A simple sharp weighted estimate of the dyadic shifts on metric spaces with geometric doubling
Fedor Nazarov, Alexander Volberg
We give a short and simple polynomial estimate of the norm of weighted dyadic shift on metric space with geometric doubling, which is linear in the norm of the weight. Combined wit…