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Volumn 116, Issue 1, 2000, Pages 1-20

On Itô's formula for multidimensional Brownian motion

Author keywords

Brownian motion; Dirichlet spaces; It 's formula; Polar sets; Quadratic covariation; Stochastic integrals

Indexed keywords


EID: 0040141685     PISSN: 01788051     EISSN: None     Source Type: Journal    
DOI: 10.1007/PL00008719     Document Type: Article
Times cited : (32)

References (13)
  • 1
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    • Brosamler, G.1
  • 2
    • 0031231775 scopus 로고    scopus 로고
    • On functions transforming a Wiener process into a semimartingale
    • Chitashvili, R.; Mania, M.: On functions transforming a Wiener process into a semimartingale. Prob. Theory Relat. Fields, 109, 57-76 (1997)
    • (1997) Prob. Theory Relat. Fields , vol.109 , pp. 57-76
    • Chitashvili, R.1    Mania, M.2
  • 3
    • 0004188078 scopus 로고
    • Springer-Verlag, Berlin-Göttingen-Heidelberg
    • Dynkin, E.B.: Markov Processes vol. I. Springer-Verlag, Berlin-Göttingen-Heidelberg (1980)
    • (1980) Markov Processes , vol.1
    • Dynkin, E.B.1
  • 4
    • 84972528658 scopus 로고
    • Quadratic covariation and an extension of Itô's formula
    • Föllmer, H., Protter, Ph., Shiryaev, A.N.: Quadratic covariation and an extension of Itô's formula. Bernoulli, 1 (1/2), 149-169 (1995)
    • (1995) Bernoulli , vol.1 , Issue.1-2 , pp. 149-169
    • Föllmer, H.1    Protter, Ph.2    Shiryaev, A.N.3
  • 6
    • 0003266660 scopus 로고
    • Two topics related to Dirichlet forms: Quasi everywhere convergences and additive functionals
    • Dirichlet Forms
    • Fukushima, M.: Two topics related to Dirichlet forms: quasi everywhere convergences and additive functionals. In: Dirichlet Forms. Springer Lecture Notes in Mathematics, 1563, 21-53 (1993)
    • (1993) Springer Lecture Notes in Mathematics , vol.1563 , pp. 21-53
    • Fukushima, M.1
  • 8
    • 0007422492 scopus 로고
    • A multidimensional analogue to the 0-1-law of Engelbert and Schmidt
    • Höhnle, R., Sturm, K.-Th.: A Multidimensional Analogue to the 0-1-Law of Engelbert and Schmidt. Stochastics and Stochastics Reports, 44, 27-41 (1993)
    • (1993) Stochastics and Stochastics Reports , vol.44 , pp. 27-41
    • Höhnle, R.1    Sturm, K.-Th.2
  • 10
    • 0000362483 scopus 로고
    • Decomposition of Dirichlet processes and its application
    • Lyons, T.J., Zhang, T.S.: Decomposition of Dirichlet processes and its application. Ann. Probability, 22, 494-524 (1994)
    • (1994) Ann. Probability , vol.22 , pp. 494-524
    • Lyons, T.J.1    Zhang, T.S.2
  • 11
    • 85037778187 scopus 로고
    • La formule d'Itô pour le mouvement Brownian d'après G. Brosamler
    • Séminaire de probabilités XII
    • Meyer, P.A.: La formule d'Itô pour le mouvement Brownian d'après G. Brosamler. In: Séminaire de Probabilités XII. Springer Lecture Notes in Mathematics, 649 (1978)
    • (1978) Springer Lecture Notes in Mathematics , vol.649
    • Meyer, P.A.1
  • 13
    • 0003320023 scopus 로고
    • Weakly differentiable functions
    • Springer-Verlag, New York Berlin Heidelberg
    • Ziemer, W.P.: Weakly Differentiable Functions. Graduate Texts in Mathematics, 120, Springer-Verlag, New York Berlin Heidelberg (1989)
    • (1989) Graduate Texts in Mathematics , vol.120
    • Ziemer, W.P.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.