Gabriele Cassese

collaborators

5 papers

math.CV2026

Sharp Higher Integrability Theory, Part I: The $L^{p}$ -norm of the Beurling--Ahlfors transform

Andrea Agazzi, Kari Astala, Giuseppe Bruno +18

We confirm a conjecture posed by T. Iwaniec in 1982: the $L^{p}$ norm of the Beurling--Ahlfors transform is $p - 1$ if $p \geq 2$ , and $(p - 1)^{- 1}$ if $1 < p \leq 2$ .

math.AP2026

A solution to Morrey's problem in $R^{2 \times m}$

Gabriele Cassese

We construct, for any exponent $p \in (1, \infty)$ , $p$ -homogeneous rank-one convex integrands $F : R^{2 \times m} \to R$ that are nowhere quasiconvex when $m$ is…

math.AP2026

Korn's inequality from the viewpoint of calculus of variations

Gabriele Cassese

We study the best possible constants in Korn-type inequalities and their connection with Morrey's problem in the calculus of variations. We adapt techniques from the analysis of th…

math.AP2025

Martingales, laminates and minimal Korn inequalities

Gabriele Cassese

Korn's inequalities show that the $L^{2}$ -norm of $\nabla u$ can be controlled by the $L^{2}$ -norm of $Sym (\nabla u)$ , which only has $d (d + 1) /2$ components. In [J. Math. Pures…

math.CA2025

On the regularity of Fourier interpolation formulas

Gabriele Cassese, João P. G. Ramos

By applying new functional analysis tools in the framework of Fourier interpolation formulas, such as sc-Fredholm operators and Schauder frames, we are able to improve and refine s…

Sharp Higher Integrability Theory, Part I: The Lp-norm of the Beurling--Ahlfors transform

A solution to Morrey's problem in R2×m

Korn's inequality from the viewpoint of calculus of variations

Martingales, laminates and minimal Korn inequalities

On the regularity of Fourier interpolation formulas

Sharp Higher Integrability Theory, Part I: The $L^{p}$ -norm of the Beurling--Ahlfors transform

A solution to Morrey's problem in $R^{2 \times m}$