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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…
math.AP2006
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…