19 citations · 45 across the 6 of their papers we have counts for
6 papers
Correction to ``Hardy and BMO spaces associated to divergence form elliptic operators"
Steve Hofmann, Svitlana Mayboroda
This note presents a correction to the paper ``Hardy and BMO spaces associated to divergence form elliptic operators" by Steve Hofmann and Svitlana Mayboroda
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…
Pointwise estimates for the polyharmonic Green function in general domains
Svitlana Mayboroda, Vladimir Maz'ya
In the present paper we establish sharp pointwise estimates on the polyharmonic Green function and its derivatives in an arbitrary bounded open set.
Hardy and BMO spaces associated to divergence form elliptic operators
Steve Hofmann, Svitlana Mayboroda
Consider the second order divergence form elliptic operator with complex bounded coefficients. In general, the operators related to it (such as Riesz transform or square functi…
Boundedness of the Hessian of a biharmonic function in a convex domain
Svitlana Mayboroda, Vladimir Maz'ya
We consider the Dirichlet problem for the biharmonic equation on an arbitrary convex domain and prove that the second derivatives of the variational solution are bounded in all dim…