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math.FA2022
On semigroup maximal operators associated with divergence-form operators with complex coefficients
Andrea Carbonaro, Oliver Dragičević
Let be an elliptic divergence form operator with bounded complex coefficients subject to mixed boundary conditions on an arbitrary open set $Ω\subseteq\…
math.FA2006★ 4 cited
Sharp estimates of martingale transforms in higher dimensions and applications to the Ahlfors-Beurling operator
Oliver Dragicevic, Stefanie Petermichl, Alexander Volberg
The main aspiration of this note is to construct several different Haar-type systems in euclidean spaces of higher dimensions and prove sharp Lp bounds for the corresponding martin…