Zobrazeno 1 - 10
of 799
pro vyhledávání: '"Ciatti, A."'
We study the $\varrho$-th order variation seminorm of a general Ornstein--Uhlenbeck semigroup $\left(\mathcal H_t\right)_{t>0}$ in $\mathbb R^n$, taken with respect to $t$. We prove that this seminorm defines an operator of weak type $(1,1)$ with res
Externí odkaz:
http://arxiv.org/abs/2405.00497
We derive several properties of the heat equation with the Hodge operator associated with the Rumin complex on Heisenberg groups and prove several properties of the fundamental solution. As an application, we use the heat kernel for Rumin's different
Externí odkaz:
http://arxiv.org/abs/2305.10493
Publikováno v:
Annali di Matematica Pura e Applicata, 203, (2024), 205--219
Consider the variation seminorm of the Ornstein-Uhlenbeck semigroup $H_t$ in dimension one, taken with respect to $t$. We show that this seminorm defines an operator of weak type $(1,1)$ for the relevant Gaussian measure. The analogous $L^p$ estimate
Externí odkaz:
http://arxiv.org/abs/2304.08554
Autor:
Pier Paolo Mariani, M.D., Guglielmo Torre, M.D., Michael J. Battaglia, M.D., Riccardo Ciatti, M.D., Rocco Papalia, M.D., Ph.D.
Publikováno v:
Arthroscopy, Sports Medicine, and Rehabilitation, Vol 6, Iss 5, Pp 100956- (2024)
Purpose: To investigate the incidence of popliteomeniscal fascicles (PMF) tears in anterior cruciate ligament (ACL) rupture in professional soccer players, to describe arthroscopic and magnetic resonance imaging (MRI) findings and treatment of these
Externí odkaz:
https://doaj.org/article/78020d244c964836aa3081efb799ef90
Publikováno v:
Analysis and Geometry in Metric Spaces, Vol 12, Iss 1, Pp 5818-5881 (2024)
We derive several properties of the heat equation with the Hodge operator associated with the Rumin’s complex on Heisenberg groups and prove several properties of the fundamental solution. As an application, we use the heat kernel for Rumin’s dif
Externí odkaz:
https://doaj.org/article/b0454fec0537405985ff4c57b7403e0c
Autor:
Mariani, Pier Paolo, Torre, Guglielmo, Battaglia, Michael J., Ciatti, Riccardo, Papalia, Rocco
Publikováno v:
In Arthroscopy, Sports Medicine, and Rehabilitation October 2024 6(5)
We investigate a class of spectral multipliers for an Ornstein-Uhlenbeck operator $\mathcal L$ in $\mathbb R^n$, with drift given by a real matrix $B$ whose eigenvalues have negative real parts. We prove that if $m$ is a function of Laplace transform
Externí odkaz:
http://arxiv.org/abs/2202.01547
Autor:
Ciatti, Corrado1,2 (AUTHOR) dadociatti@icloud.com, Masoni, Virginia3 (AUTHOR) virginia.masoni@unito.it, Maniscalco, Pietro1,2 (AUTHOR) c.asti@studenti.uniss.it, Asti, Chiara1,4 (AUTHOR) c.pumapagliarello@ausl.pc.it, Puma Pagliarello, Calogero1 (AUTHOR) fabrizioquattrini@yahoo.it, Caggiari, Gianfilippo4 (AUTHOR) marco92pes@gmail.com, Pes, Marco4 (AUTHOR), Rivera, Fabrizio5 (AUTHOR) rivgio@libero.it, Quattrini, Fabrizio1,2 (AUTHOR)
Publikováno v:
Journal of Clinical Medicine. Sep2024, Vol. 13 Issue 18, p5428. 13p.
Autor:
Quattrini, Fabrizio, Andriollo, Luca, Ciatti, Corrado, Maniscalco, Pietro, Benazzo, Francesco, Rossi, Stefano Marco Paolo
Publikováno v:
In Injury September 2024 55 Supplement 4
Publikováno v:
Arch. Math. 117, 547-556 (2021)
We study the orthogonality of the generalized eigenspaces of an Ornstein--Uhlenbeck operator $\mathcal L$ in $\mathbb{R}^N$, with drift given by a real matrix $B$ whose eigenvalues have negative real parts. If $B$ has only one eigenvalue, we prove th
Externí odkaz:
http://arxiv.org/abs/2103.09698