27 citations · 122 across the 29 of their papers we have counts for
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Bilinear embedding for real elliptic differential operators in divergence form with potentials
Oliver Dragičević, Alexander Volberg
We present a simple Bellman function proof of a bilinear estimate for elliptic operators in divergence form with real coefficients and with nonnegative potentials. The constants ar…
A sharp estimate of weighted dyadic shifts of complexity 0 and 1
Alexander Reznikov, Sergei Treil, Alexander Volberg
A simple shortcut to proving sharp weighted estimates for the Martingale Transform and for the dyadic shift of order 1 (and so for the Hilbert transform) is presented. It is a unif…
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…
Random "dyadic" lattice in geometrically doubling metric space and conjecture
Alexander Reznikov, Alexander Volberg
Recently three proofs of the -conjecture were obtained. All of them are "glued" to euclidian space and a special choice of one random dyadic lattice. We build a random "dyadic…