27 citations · 109 across the 25 of their papers we have counts for
5 papers · 2 filters
Carleson measure and balayage
Sandra Pott, Alexander Volberg
The balayage of a Carleson measure lies of course in BMO. We show that the converse statement is false. We also make a two-sided estimate of the Carleson norm of a positive measure…
Square function and Riesz transform in non-integer dimensions
Svitlana Mayboroda, Alexander Volberg
Following a recent paper by X. Tolsa and A. Ruiz de Villa [Non existence of principal values of signed Riesz transforms of non integer dimension, preprint], we show that the finite…
Boundedness of the square function and rectifiability
Svitlana Mayboroda, Alexander Volberg
Following a recent paper by X. Tolsa [JFA, 2008] we show that the finiteness of square function associated with the Riesz transforms with respect to Hausdorff measure ( is…
Buffon needles landing near Sierpinski gasket
Matthew Bond, Alexander Volberg
In this paper we modify the method of Nazarov, Peres, and Volberg "The power law for the Buffon needle probability of the four-corner Cantor set", arXiv:0801.2942, to get an estima…
Asymptotics of the best polynomial approximation of and of the best Laurent polynomial approximation of $\sgn(x)$ on two symmetric intervals
F. Nazarov, F. Peherstorfer, A. Volberg +1
We present a new method that allows us to get a direct proof of the classical Bernstein asymptotics for the error of the best uniform polynomial approximation of on two sym…