# Hitting distributions domination and subordinate resolvents; an analytic approach

Open Mathematics (2006)

- Volume: 4, Issue: 1, page 138-162
- ISSN: 2391-5455

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topNicu Boboc, and Gheorghe Bucur. "Hitting distributions domination and subordinate resolvents; an analytic approach." Open Mathematics 4.1 (2006): 138-162. <http://eudml.org/doc/268699>.

@article{NicuBoboc2006,

abstract = {We give an analytic version of the well known Shih's theorem concerning the Markov processes whose hitting distributions are dominated by those of a given process. The treatment is purely analytic, completely different from Shih's arguments and improves essentially his result (in the case when the given processes are transient},

author = {Nicu Boboc, Gheorghe Bucur},

journal = {Open Mathematics},

keywords = {31D05; 60J45; 60J35},

language = {eng},

number = {1},

pages = {138-162},

title = {Hitting distributions domination and subordinate resolvents; an analytic approach},

url = {http://eudml.org/doc/268699},

volume = {4},

year = {2006},

}

TY - JOUR

AU - Nicu Boboc

AU - Gheorghe Bucur

TI - Hitting distributions domination and subordinate resolvents; an analytic approach

JO - Open Mathematics

PY - 2006

VL - 4

IS - 1

SP - 138

EP - 162

AB - We give an analytic version of the well known Shih's theorem concerning the Markov processes whose hitting distributions are dominated by those of a given process. The treatment is purely analytic, completely different from Shih's arguments and improves essentially his result (in the case when the given processes are transient

LA - eng

KW - 31D05; 60J45; 60J35

UR - http://eudml.org/doc/268699

ER -

## References

top- [1] H. Ben Saad: Généralisation des noyaux V het applications, Lecture Notes in Math, Vol. 196, Springer Verlag, (1984), pp. 14-39.
- [2] L. Beznea and N. Boboc: “Excessive functions and excessive measures: Hunt's theorem on balayages, quasi-continuity”, In: Classical and Modern Potential Theory and Appl., NATO ASI Series C, Vol. 430, Kluwer Acad. Publish., 1994, pp. 71–92. Zbl0864.31009
- [3] L. Beznea and N. Boboc: “Kuran's regularity criterion and localization in excessive structures”, Bull. London Math. Soc., Vol. 28, (1996), pp. 273–282. Zbl0860.31007
- [4] L. Beznea and N. Boboc: Potential Theory and Right Processes, Kluwer Acad. Publish., 2004.
- [5] N. Boboc and Gh. Bucur: “Excessive and supermedian functions with respect to subordinated resolvent of kernels”, Rev. Roum. Math. Pures et Appl., Vol. 39, (1994), pp. 875–878. Zbl0846.31013
- [6] N. Boboc and Gh. Bucur: “Dilation operators in excessive structures; existence and uniqueness”, In: Potential Theory ICPT 94, Walter de Gruyter& Co, 1996, pp. 311–339. Zbl0866.31009
- [7] J. Franchi and Y. Le Jan: “Sur les trajectoires intrinsèques des processus de Markov et le théorèm de Shih”, Ann. Inst. H. Poincaré Probab. Statist., Vol. 20, (1984), pp. 103–126. Zbl0537.60071
- [8] P.A. Meyer: “Semi-groups en dualité”, In: Sém. de Th: du Potentiel (Brelot-Choquet-Deny) 5eannée: 1960/61, Vol. 10, Secrétariat math. Paris, 1961, p. 1–14.
- [9] P.A. Meyer: “Fonctionelles multiplicatives et additives de Markov”, Ann. Inst. Fourier (Grenoble), Vol. 12, (1962), pp. 125–230. Zbl0138.40802
- [10] G. Mokobodzki: Operateur de subordination des resolventes, 1983, unpublished manuscript.
- [11] C.T. Shih: “Markov processus where hitting distributions are dominated by those of a given process”, Trans. Amer. Math. Soc., Vol. 129, (1967), pp. 157–179. http://dx.doi.org/10.2307/1994370 Zbl0178.20504

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