Research
Research
My research interests include:
functional calculi associated with certain families of differential operators on Lie groups;
weighted Bergman spaces on Siegel domains;
Bernstein spaces in one and several variables;
invariant spaces of holomorphic functions in symmetric domains.
Corrigendum to: Besov Spaces of Analytic Type: Interpolation, Convolution, Fourier Multipliers, Inclusions, J. Math. Anal. Appl. 552 (2025), 129814, https://doi.org/10.1016/j.jmaa.2025.129814.
Clark Measures Associated with Rational Inner Functions on Bounded Symmetric Domains, Proc. Amer. Math. Soc. 153 (2025), p. 3043-3061, https://doi.org/10.1090/proc/17194.
A Survey on Invariant Spaces of Holomorphic Functions on Symmetric Domains, to appear in New Trends in Complex and Fourier Analysis, and Operator Theory, Springer IndAM Series.
Clark Measures on Bounded Symmetric Domains, Complex Anal. Oper. Th. 18 (2024), 132, https://doi.org/10.1007/s11785-024-01571-9.
Invariant Spaces of Holomorphic Functions on Symmetric Siegel domains, to appear in J. Operat. Theor.
(with M. M. Peloso) On the Theory of Bergman Spaces on Homogeneous Siegel Domains, Complex Anal. Synerg. 9 (2023), 13, https://doi.org/10.1007/s40627-023-00122-w .
Paley-Wiener-Schwartz Theorems on Quadratic CR Manifold, Math. Z. 305 (2023), 8, https://doi.org/10.1007/s00209-023-03342-2.
(with M. M. Peloso) Invariant Spaces of Holomorphic Functions on the Siegel Upper Half-Space, J. Funct. Anal. 285 (2023), 110013, https://doi.org/10.1016/j.jfa.2023.110013.
Besov Spaces of Analytic Type: Interpolation, Convolution, Fourier Multipliers, Inclusions, J. Math. Anal. Appl. 526 (2023), 127285.
(with M. M. Peloso) Carleson and Sampling Measures on Bernstein Spaces on Siegel CR Manifolds, Math. Nach. 296 (2023), p. 4854-4887, https://doi.org/10.1002/mana.202200058.
(with M. M. Peloso) Boundedness of Bergman Projectors on Homogeneous Siegel Domains, Rend. Circ. Mat. Palermo, II. Ser 72 (2023), p. 2653-2701, https://doi.org/10.1007/s12215-022-00798-9.
(with M. M. Peloso) Bernstein Spaces on Siegel CR Manifolds, Anal. Math. Phys. 12 (2022), 123, https://doi.org/10.1007/s13324-022-00733-2.
A Note on Hardy Spaces on Quadratic CR Manifolds, New York J. Math. 28 (2022), p. 1498-1505.
(with T. Bruno) Schrödinger Operators on Lie groups with Purely Discrete Spectrum, Adv. Math. 404 (2022), 108444.
(with E. Bruè, G. E. Comi, G. Stefani) A Distributional Approach to Fractional Sobolev Spaces and Fractional Variation: Asymptotics II, C. R. Math. 360 (2022), p. 589-626, https://doi.org/10.5802/crmath.300.
(with M. M. Peloso) Carleson and Reverse Carleson Measures on Homogeneous Siegel Domains, Complex Anal. Oper. Th. 16 (2022), 4, https://doi.org/10.1007/s11785-021-01177-5.
(with M. M. Peloso) Toeplitz and Cesàro-type Operators on Homogeneous Siegel domains, Complex Var. Elliptic, 68 (2023), p. 167-199, https://doi.org/10.1080/17476933.2021.1985478.
(with M. M. Peloso) Holomorphic Function Spaces on Homogeneous Siegel Domains, Diss. Math. 563 (2021), p. 1-168, https://doi.org/10.4064/dm833-3-2021 .
(with F. Ricci) Functional Calculus on Non-Homogeneous Operators on Nilpotent Groups, Ann. Mat. Pur. Appl. 200 (2021), p. 1517-1571.
Spectral Multipliers on 2-Step Stratified Groups, I, J. Fourier Anal. Appl. 26 (2020), 35, https://doi.org/10.1007/s00041-020-09740-y.
Spectral Multipliers on 2-Step Stratified Groups, II, J. Geom. Anal. 30 (2020) p. 3563--3615, https://doi.org/10.1007/s12220-019-00208-0.
(with T. Bruno) Asymptotics for the Heat Kernel on H-Type Groups, Ann. Mat. Pur. Appl. 197 (2018), p. 1017-1049.
(with T. Bruno) Weighted sub-Laplacians on Métivier Groups: Essential Self-Adjointness and Spectrum, Proc. Amer. Math. Soc. 145 (2017), p. 3579-3594.
(with G. Antonelli, M. Gordina) Sharp defective log-Sobolev inequalities on H-type groups, 2024, arXiv:2410.15566v1.
Positive Pluriharmonic Functions on Symmetric Siegel Domains, 2024, arXiv:2403.05436.
06/25, at Hilbert Function Spaces 2025, Frascati, Italy.
05/25, at Convegno Nazionale di Analisi Armonica, Napoli, Italy.
03/25, invited talk at APRG Seminar (IISc Math Department), online.
02/25, at Analysis on Complex and Discrete Structures, Milano, Italy
05/24, at Convegno Nazionale di Analisi Armonica, Vicenza, Italy.
05/24, invited talk at CR Geometry and PDE’S X, Levico, Italy.
03/24, invited talk at Ghent Methusalem Junior Seminar (online).
09/23, invited talk at XXII Congresso UMI, Pisa, Italy.
05/23, at Convegno Nazionale di Analisi Armonica, Milano, Italy.
05/23, invited talk at Harmonic Analysis e-Seminars (online).
09/22, invited talk at (New Trends in) Complex and Fourier Analysis, and Operator Theory 2, Roma, Italy.
05/22, at Convegno Nazionale di Analisi Armonica, Italy (online).
01/22, invited talk at GeometricAspects of Complex and Harmonic Analysis.
05/21, at Convegno Nazionale di Analisi Armonica, Italy (online).
12/20, invited talk at Complex Analysis and Allied Topics (online).
06/20, at Convegno Nazionale di Analisi Armonica, Italy (online).
09/19, invited talk at XXI Congresso UMI, Pavia, Italy.
02/19, invited talk at the Università degli Studi di Padova, Italy.
02/19, invited talk at Real and Complex Manifolds: Geometry, Topology and Harmonic Analysis, Pisa, Italy.
09/18, invited talk at First Joint Meeting UMI-SIMAI-PTM, Wrocław, Poland.
05/18, at Probabilistic Aspects of Harmonic Analysis, Będlewo, Poland.
04/18, invited talk at Young Researchers Workshop in Harmonic Analysis, Torino, Italy.
05/17, at Convegno Nazionale di Analisi Armonica, Bressanone, Italy.