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

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3 papers · 1 filter

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.CA2016

Convexity of power functions and bilinear embedding for divergence-form operators with complex coefficients

Andrea Carbonaro, Oliver Dragičević

We introduce a condition on accretive matrix functions, called $p$ -ellipticity, and discuss its applications to the $L^{p}$ theory of elliptic PDE with complex coefficients. Our exam…

math.CA2013★ 32 cited

Functional calculus for generators of symmetric contraction semigroups

Andrea Carbonaro, Oliver Dragičević

We prove that every generator of a symmetric contraction semigroup on a $σ$ -finite measure space admits, for $1 < p < \infty$ , a Hörmander-type holomorphic functional calculus on $L^{p}$ …

Sharp Lp estimates of powers of the complex Riesz transform

Convexity of power functions and bilinear embedding for divergence-form operators with complex coefficients

Functional calculus for generators of symmetric contraction semigroups

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