Regularities and limit theorems of some additive functionals of symmetric stable process in some anisotropic Besov spaces
type: Item
instance of: scholarly article
title: Regularities and limit theorems of some additive functionals of symmetric stable process in some anisotropic Besov spaces
zbMATH Open document ID: 1266.60006
DOI: 10.4171/PM/1920
author: Aissa Sghir
author: Hanae Ouahhabi
published in: Portugaliae Mathematica. Nova Série
publication date: 2013-03-12T00:00:00Z
review text: Summary: In this paper, we give some regularities and limit theorems of some additive functionals of symmetric stable process of index \(1<\alpha\leq2\) in some anisotropic Besov spaces.
Mathematics Subject Classification ID: 60B12
Mathematics Subject Classification ID: 60G52
zbMATH DE Number: 6143507
zbMATH Keywords: anisotropic Besov space
zbMATH Keywords: symmetric stable process
zbMATH Keywords: fractional Brownian motion
zbMATH Keywords: fractional derivative
zbMATH Keywords: additive functional
zbMATH Keywords: slowly varying function
MaRDI profile type: Publication
cites work: Weak convergence to fractional Brownian motion in some anisotropic Besov space
cites work: Théorèmes limites pour certaines fonctionnelles associées aux processus stables dans une classe d'espaces de besov
cites work: Limit theorems for certain functionals associated to stable processes in a Hölder space
cites work: Q5461891
cites work: Necessary and sufficient conditions for the continuity of local time of Lévy processes
cites work: Q4726487
cites work: Temps local brownien et espaces de besov anisotropiques
cites work: Un résultat d'approximation d'une EDPS hyperbolique en norme de Besov anisotropique
cites work: Q5288289
cites work: Local times for a class of Markoff processes
cites work: Quelques espaces fonctionnels associés à des processus gaussiens
cites work: Isomorphism of some anisotropic Besov and sequence spaces
cites work: \(p\)-variation of the local times of symmetric stable processes and of Gaussian processes with stationary increments
cites work: Q3979080
cites work: Q3141895
cites work: A property of Brownian motion paths
cites work: On the fractional derivative of Brownian local times
cites work: Q3660633
description: scientific article; zbMATH DE number 6143507