Results 31 to 40 of about 108 (105)

A Transference Result of the Lp‐Continuity of the Jacobi Littlewood‐Paley g‐Function to the Gaussian and Laguerre Littlewood‐Paley g‐Function

Journal of Function Spaces, Volume 2018, Issue 1, 2018., 2018
We develop a transference method to obtain the Lp‐continuity of the Gaussian‐Littlewood‐Paley g‐function and the Lp‐continuity of the Laguerre‐Littlewood‐Paley g‐function from the Lp‐continuity of the Jacobi‐Littlewood‐Paley g‐function, in dimension one, using the well‐known asymptotic relations between Jacobi polynomials and Hermite and Laguerre ...
Eduard Navas, Wilfredo O. Urbina, Yoshihiro Sawano   +2 more
wiley   +1 more source

The Ornstein–Uhlenbeck bridge and applications to Markov semigroups

Stochastic Processes and their Applications, 2008
For an arbitrary Hilbert space-valued Ornstein-Uhlenbeck process we construct the Ornstein-Uhlenbeck Bridge connecting a starting point $x$ and an endpoint $y$ that belongs to a certain linear subspace of full measure. We derive also a stochastic evolution equation satisfied by the OU Bridge and study its basic properties. The OU Bridge is then used to
Goldys, B., Maslowski, B.
openaire   +3 more sources

The Maximal Operator Associated to a Nonsymmetric Ornstein–Uhlenbeck Semigroup [PDF]

Journal of Fourier Analysis and Applications, 2008
20 pages, to appear in J Fourier Anal Appl, available on line at http://www.springerlink ...
MAUCERI, GIANCARLO, NOSELLI L.
openaire   +2 more sources

Statistical inference for a stochastic partial differential equation related to an ecological niche

Mathematical Methods in the Applied Sciences, Volume 47, Issue 18, Page 13672-13689, December 2024.
In this paper, we use a stochastic partial differential equation (SPDE) as a model for the density of a population under the influence of random external forces/stimuli given by the environment. We study statistical properties for two crucial parameters of the SPDE that describe the dynamic of the system.
Fernando Baltazar‐Larios, Francisco Delgado‐Vences, Liliana Peralta   +2 more
wiley   +1 more source

Pointwise eigenvector estimates by landscape functions: Some variations on the Filoche–Mayboroda–van den Berg bound

Mathematische Nachrichten, Volume 297, Issue 5, Page 1749-1771, May 2024.
Abstract Landscape functions are a popular tool used to provide upper bounds for eigenvectors of Schrödinger operators on domains. We review some known results obtained in the last 10 years, unify several approaches used to achieve such bounds, and extend their scope to a large class of linear and nonlinear operators. We also use landscape functions to
Delio Mugnolo
wiley   +1 more source

On the Generalized Ornstein-Uhlenbeck Semigroup

, 2019
some results were not ...
Maslouhi, Mostafa, Lamine, El houssain
openaire   +2 more sources

Nonsymmetric Ornstein–Uhlenbeck Semigroups in Banach Spaces

Journal of Functional Analysis, 1998
Let \((S(t))_{t\geq 0}\) be a \(C_{0}\)-semigroup on a Banach space \(E\) and take a positive, symmetric operator \(Q \in L(E^{*},E)\). The author studies the reproducing kernel Hilbert spaces associated with the operators \(Q_{t}:=\int_{0}^{t}S(s)QS(s)^{*}ds\).
openaire   +2 more sources

Smoothing properties of fractional Ornstein-Uhlenbeck semigroups and null-controllability

Bulletin des Sciences Mathématiques, 2020
We study fractional hypoelliptic Ornstein-Uhlenbeck operators acting on $L^2(\mathbb{R}^n)$ satisfying the Kalman rank condition. We prove that the semigroups generated by these operators enjoy Gevrey regularizing effects. Two byproducts are derived from this smoothing property.
Alphonse, Paul, Bernier, Joackim
openaire   +5 more sources

Non Tangential Convergence for the Ornstein-Uhlenbeck Semigroup

, 2006
In this paper we are going to get the non tangential convergence, in an appropriated parabolic "gaussian cone", of the Ornstein-Uhlenbeck semigroup in providing two proofs of this fact. One is a direct proof by using the truncated non tangential maximal function associated. The second one is obtained by using a general statement. This second proof also
Pineda, Ebner, Urbina R., Wilfredo
openaire   +3 more sources

On the Maximal Function for the Generalized Ornstein-uhlenbeck Semigroup. [PDF]

Quaestiones Mathematicae, 2007
In this note we consider the maximal function for the generalized Ornstein-Uhlenbeck semigroup in $\RR$ associated with the generalized Hermite polynomials $\{H_n^ \}$ and prove that it is weak type (1,1) with respect to $d _ (x) = |x|^{2 }e^{-|x|^2} dx,$ for $ >-1/2$ as well as bounded on $L^p(d _ ) $ for $p>1$
Betancor, Jorge, Forzani, Liliana Maria, Scotto, Roberto Aníbal, Urbina, Wilfredo O.   +3 more
openaire   +4 more sources