Inequalities for Bochner's subordinates of two-parameter symmetric Markov processes

Francis Hirsch; Shiqi Song

Annales de l'I.H.P. Probabilités et statistiques (1996)

• Volume: 32, Issue: 5, page 589-600
• ISSN: 0246-0203

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Hirsch, Francis, and Song, Shiqi. "Inequalities for Bochner's subordinates of two-parameter symmetric Markov processes." Annales de l'I.H.P. Probabilités et statistiques 32.5 (1996): 589-600. <http://eudml.org/doc/77547>.

@article{Hirsch1996,
author = {Hirsch, Francis, Song, Shiqi},
journal = {Annales de l'I.H.P. Probabilités et statistiques},
keywords = {Bochner's subordinate process; two-parameter symmetric process; probabilistic characterizations of capacities; fractional Sobolev spaces},
language = {eng},
number = {5},
pages = {589-600},
publisher = {Gauthier-Villars},
title = {Inequalities for Bochner's subordinates of two-parameter symmetric Markov processes},
url = {http://eudml.org/doc/77547},
volume = {32},
year = {1996},
}

TY - JOUR
AU - Hirsch, Francis
AU - Song, Shiqi
TI - Inequalities for Bochner's subordinates of two-parameter symmetric Markov processes
JO - Annales de l'I.H.P. Probabilités et statistiques
PY - 1996
PB - Gauthier-Villars
VL - 32
IS - 5
SP - 589
EP - 600
LA - eng
KW - Bochner's subordinate process; two-parameter symmetric process; probabilistic characterizations of capacities; fractional Sobolev spaces
UR - http://eudml.org/doc/77547
ER -

References

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1. [1] J. Bauer, Multiparameter processes associated with Omstein-Uhlenbeck semigroups, in Classical and Modern Potential Theory and Applications, GrowiSankaran et al. eds., Kluwer Acad. Publ., 1994, pp. 41-55. Zbl0871.31006MR1321605
2. [2] N. Bochner, Harmonic analysis and the theory of probability, University of California Press, 1955. Zbl0068.11702MR72370
3. [3] N. Bouleau, Quelques résultats probabilistes sur la subordination au sens de Bochner, in Séminaire de Théorie du Potentiel, Paris No. 7, Lecture Notes in Mathematics 1061, Springer-Verlag, 1984, pp. 54-81. Zbl0539.60072MR779295
4. [4] F. Hirsch, Représentation du processus d'Ornstein-Uhlenbeck à n-paramètres, in Séminaire de Probabilités XXVII, Lecture Notes in Mathematics 1557, Springer-Verlag, 1993, pp. 302-303. Zbl0798.60055MR1308571
5. [5] F. Hirsch, Générateurs étendus et subordination au sens de Bochner, in Séminaire de Théorie du potentiel, Paris No. 7, Lecture Notes in Mathematics 1061, Springer-Verlag, 1984, pp. 134-156. Zbl0541.60072MR779300
6. [6] F. Hirsch, Potential theory related to some multiparameter processes, Potential Analysis, Vol. 4, 1995, pp. 245-267. Zbl0839.31010MR1331834
7. [7] T. Kazumi and I. Shigekawa, Measures of finite (r, p)-energy and potentials on a separable metric space. Séminaire de Probabilités XXVI, Lecture Notes in Mathematics 1526, Springer-Verlag, 1992, pp. 415-444. Zbl0769.60069MR1232008
8. [8] S. Song, Construction d'un processus à deux paramètres à partir d'un semigroupe à un paramètre, in Classical and Modern Potential Theory and Applications, GrowiSankaran et al. eds., Kluwer Acad. Publ.1994, pp. 419-451. Zbl0864.31005MR1321631
9. [9] S. Song, Inégalités relatives aux processus d'Ornstein-Uhlenbeck à n-paramètres et capacité gaussienne cn, 2, in Séminaire de Probabilités XXVII, Lecture Notes in Mathematics 1557, Springer-Verlag, 1993, pp. 276-301. Zbl0786.60105MR1308570
10. [10] S. Song, Processus d'Ornstein-Uhlenbeck et ensembles W2,2 -polaires, Potential Analysis, Vol. 2, n° 2, 1993, pp. 171-186. Zbl0772.60056MR1246749
11. [11] F. Hirsch and S. Song, Markov properties of multiparameter processes and capacities, Prob. Th. and Rel. Fields, Vol. 103, 1995, pp. 45-71. Zbl0833.60075MR1347170
12. [12] F. Hirsch and S. Song, Symmetric Skorohod topology on n-variable functions and hierarchical Markov properties of n-parameter processes, Prob. Th. and Rel. Fields, Vol. 103, 1995, pp. 25-43. Zbl0833.60074MR1347169
13. [13] J.B. Walsh, An introduction to stochastic partial differential equations, in École d'été de probabilités de Saint-Flour XIV-1984, Lecture Notes in Mathematics 1180, Springer-Verlag, 1986, pp. 266-437. Zbl0608.60060MR876085

Citations in EuDML Documents

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1. Shiqi Song, C-semigroups on Banach spaces and functional inequalities

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