Preprints

1. (with E. Papageorgiou) Pointwise convergence to initial data for some evolution equations on symmetric spaces, arXiv:2307.09281

2. (with F. Santagati) Optimal heat kernel bounds and asymptotics on Damek-Ricci spaces, arXiv: 2210.02066

Published papers

1. (with J. T. van Velthoven) Hardy spaces and dilations on homogeneous groups, Proc. Amer. Math. Soc., to appear. arXiv: 2307.01698

2. (with M. M. Peloso and M. Vallarino) Pointwise multipliers for Triebel–Lizorkin and Besov spaces on Lie groups, Bull. Sci. Math. 187, n. 103290 (2023) Journal version

3. (with M. Calzi) Schrödinger operators on Lie groups with purely discrete spectrum, Adv. Math. 404, n. 108444 (2022)  Journal version

4. (with M. M. Peloso and M. Vallarino) Local and nonlocal Poincaré inequalities on Lie groups, Bull. Lond. Math. Soc. 54 (2022), no. 6, 2162-2173 Journal version

5. Homogeneous algebras via heat kernel estimates, Trans. Amer. Math. Soc. 375 (2022) 6903-6946  Journal version

6. (with M. M. Peloso and M. Vallarino) The Sobolev embedding constant on Lie groups, Nonlinear Anal. 216, n. 112707 (2022)  Journal version

7. (with M. G. Cowling, F. Nicola and A. Tabacco) Estimates for matrix coefficients of representations, Amer. J. Math. 144 (2022), no. 4, 943–966. Journal version

8. Singular integrals and Hardy type spaces for the inverse Gauss measure, J. Geom. Anal. 31, 6481-6528 (2021)  Journal version

9. (with P. Sjögren)  On the Riesz transforms for the inverse Gauss measure,  Ann. Fenn. Math. 46 (2021), n. 1, 433-448  Journal version

10. (with M. M. Peloso and M. Vallarino) Besov and Triebel–Lizorkin spaces on Lie groups, Math. Ann. 377, 335–377 (2020).  Journal version

11. Maximal hypoellipticity for left-invariant differential operators on Lie groups, J. Lie Theory 29 (2019), no. 3, 801–809.  Journal version

12. (with M. M. Peloso, A. Tabacco and M. Vallarino) Sobolev spaces on Lie groups: embedding theorems and algebra properties, J. Funct. Anal. 276 (2019), n. 10, 3014–3050.  Journal version

13. Endpoint results for the Riesz transform of the Ornstein–Uhlenbeck operator, J. Fourier Anal. Appl. 25 (2019), no. 4, 1609–1631.  Journal version

14. (with M. Calzi) Asymptotics for the Heat Kernel on H-type groups, Ann. Mat. Pura Appl. (4) 197 (2018), no. 4, 1017–1049.  Journal version

15. (with M. Calzi) Weighted sub-Laplacians on Métivier groups: essential self-adjointness and spectrum, Proc. Amer. Math. Soc. 145 (2017), no. 8, 3579–3594.  Journal version

Book chapters

1. (with M. M. Peloso and M. Vallarino) Potential spaces on Lie groups, “Geometric Aspects of Harmonic Analysis”, Springer INdAM Series, vol. 45, Springer, 2021. Book version

2. (with A. Tabacco and M. Vallarino) Endpoint Results for Fourier Integral Operators on Noncompact Symmetric Spaces, “Landscapes of Time-Frequency Analysis”, pp 33-58. Applied and Numerical Harmonic Analysis, Birkhäuser (2019).  Book version