PL EN


Preferencje help
Widoczny [Schowaj] Abstrakt
Liczba wyników
Tytuł artykułu

Sharp norm inequalities for stochastic integrals in which the integrator is a nonnegative supermartingale

Autorzy
Wybrane pełne teksty z tego czasopisma
Identyfikatory
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
The paper is devoted to sharp inequalities between moments of nonnegative supermartingales and their strong subordinates. Analogous estimates hold true for stochastic integrals with respect to a nonnegative right-continuous supermartingale. Similar inequalities are established for smooth functions on Euclidean domains.
Rocznik
Strony
29--42
Opis fizyczny
Bibliogr. 12 poz.
Twórcy
  • Department of Mathematics, Informatics and Mechanics, University of Warsaw, Banacha 2, 02-097 Warsaw, Poland
Bibliografia
  • [1] K. Bichteler, Stochastic integration and Lp-theory of semimartingales, Ann. Probab. 9 (1981), pp. 49-89.
  • [2] D. L. Burkholder, Boundary value problems and sharp inequalities for martingale transforms, Ann. Probab. 12 (1984), pp. 647-702.
  • [3] D. L. Burkholder, Martingales and Fourier analysis in Banach spaces, in: Probability and Analysis (Varenna, 1985), Lecture Notes in Math. No 1206, Springer, Berlin 1986, pp. 61-108.
  • [4] D. L. Burkholder, A sharp and strict Lp-inequality for stochastic integrals, Ann. Probab. 15 (1987), pp. 268-273.
  • [5] D. L. Burkholder, Sharp inequalities for martingales and stochastic integrals, in: Colloque Paul Lévy sur les processus stochastiques, Astérisque 157-158 (1988), pp. 75-94.
  • [6] D. L. Burkholder, Differential subordination of harmonic functions and martingales, in: Harmonic Analysis and Partial Differential Equations (El Escorial; 1987), Lecture Notes in Math. No 1384 (1989), pp. 1-23.
  • [7] D. L. Burkholder, Explorations in martingale theory and its applications, in: Ecole d’Eté de Probabilités de Saint-Flour XIX - 1989, Lecture Notes in Math. No 1464, Springer, Berlin 1991, pp. 135-145.
  • [8] D. L. Burkholder, Sharp probability bounds for Itô processes, in: Current Issues in Statistics and Probability: Essays in Honor of Raghu Raj Bahadur, J. K. Ghosh, S. K. Mitra, K. R. Parthasarathy and B. L. S. Prakasa (Eds.), Wiley Eastern, New Delhi 1993, pp. 135-145.
  • [9] D. L. Burkholder, Strong differential subordination and stochastic integration, Ann. Probab. 22 (1994), pp. 995-1025.
  • [10] D. L. Burkholder, Some extremal problems in martingale theory and harmonic analysis, in: Harmonic Analysis and Partial Differential Equations (Chicago; Ill.; 1996), Chicago Lectures in Math., 1999, pp. 99-115.
  • [11] C. Choi, A submartingale inequality, Proc. Amer. Math. Soc. 124 (1996), pp. 2549-2553.
  • [12] C. Choi, A weak-type submartingale inequality, Kobe J. Math. 14 (1997), pp. 109-121.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-d7c14e73-c890-485c-86f0-220ca18da716
JavaScript jest wyłączony w Twojej przeglądarce internetowej. Włącz go, a następnie odśwież stronę, aby móc w pełni z niej korzystać.