Oliver Dragičević

activity

20062022

most citedSharp estimates of martingale transforms in higher dimensions and applications to the Ahlfors-Beurling operator

4 citations · 6 across the 3 of their papers we have counts for

collaborators

4 papers

math.FA2022

On semigroup maximal operators associated with divergence-form operators with complex coefficients

Andrea Carbonaro, Oliver Dragičević

Let $L_{A} = - div (A \nabla)$ be an elliptic divergence form operator with bounded complex coefficients subject to mixed boundary conditions on an arbitrary open set $Ω\subseteq\…

math.CA2021★ 2 cited

Sharp $L^{p}$ estimates of powers of the complex Riesz transform

Andrea Carbonaro, Oliver Dragičević, Vjekoslav Kovač

Let $R_{1, 2}$ be scalar Riesz transforms on $R^{2}$ . We prove that the $L^{p}$ norms of $k$ -th powers of the operator $R_{2} + i R_{1}$ behave exactly as $∣ k ∣^{1 - 2/ p} p$ , uniformly in…

math.AP2019

Bilinear embedding for divergence-form operators with complex coefficients on irregular domains

Andrea Carbonaro, Oliver Dragičević

Let $Ω \subseteq R^{d}$ be open and $A$ a complex uniformly strictly accretive $d \times d$ matrix-valued function on $Ω$ with $L^{\infty}$ coefficients. Consider the diverg…

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…

On semigroup maximal operators associated with divergence-form operators with complex coefficients

Sharp Lp estimates of powers of the complex Riesz transform

Bilinear embedding for divergence-form operators with complex coefficients on irregular domains

Sharp estimates of martingale transforms in higher dimensions and applications to the Ahlfors-Beurling operator

Sharp $L^{p}$ estimates of powers of the complex Riesz transform