A. Carbonaro

activity

20082023

most citedFunctional calculus for generators of symmetric contraction semigroups

32 citations · 67 across the 12 of their papers we have counts for

collaborators

14 papers

math.MG2023

Boundedness of Riesz transforms on $\RCD(K, \infty)$ spaces

Andrea Carbonaro, Luca Tamanini, Dario Trevisan

For $1 < p < \infty$ , we prove the $L^{p}$ -boundedness of the Riesz transform operators on metric measure spaces with Riemannian Ricci curvature bounded from below, without any restricti…

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.AP2021★ 1 cited

Trilinear embedding for divergence-form operators with complex coefficients

Andrea Carbonaro, Oliver Dragičević, Vjekoslav Kovač +1

We prove a dimension-free $L^{p} (Ω) \times L^{q} (Ω) \times L^{r} (Ω) \to L^{1} (Ω \times (0, \infty))$ embedding for triples of elliptic operators in divergence form with complex coeffici…

math.AP2019

Bilinear embedding for Schrödinger-type operators with complex coefficients

Andrea Carbonaro, Oliver Dragičević

We prove a variant of the so-called bilinear embedding theorem for operators in divergence form with complex coefficients and with nonnegative locally integrable potentials, subjec…

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…

Boundedness of Riesz transforms on $\RCD(K, \infty)$ spaces

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

Sharp Lp estimates of powers of the complex Riesz transform

Trilinear embedding for divergence-form operators with complex coefficients

Bilinear embedding for Schrödinger-type operators with complex coefficients

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

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