On the class of polar sets for a certain class of Lévy processes on the line

Mamoru KANDA

doi:10.2969/jmsj/03520221

Mamoru KANDA

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JOURNAL FREE ACCESS

1983 Volume 35 Issue 2 Pages 221-242

DOI https://doi.org/10.2969/jmsj/03520221

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Published: 1983 Received: June 22, 1981 Available on J-STAGE: October 20, 2006 Accepted: - Advance online publication: - Revised: -
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Date of correction: October 20, 2006 Reason for correction: - Correction: CITATION Details: Wrong : 1) S. Bochner, Harmonic analysis and the theory of probability, Univ. of California Press, Berkeley, 1955.
2) W. Feller, An introduction to probability theory and its applications, vol. II, John Wiley and Sons Inc., New York, 1966.
3) J. Hawkes, Potential theory of Lévy processes, Proc. London Math. Soc., (3) 38 (1979), 335-352.
4) M. Kanda, Some theorems on capacity for isotropic Markov processes with stationary independent increments, Japan. J. Math., 1 (1975), 37-66.
5) M. Kanda, Two theorems on capacity for Markov processes with stationary independent increments, Z. Wahrscheinlichkeitstheorie und Verw. Gebiete, 35 (1976), 159-165.
6) M. Kanda and M. Uehara, On the class of polar sets for symmetric Lévy processes on the line, Z. Wahrscheinlichkeitstheorie und Verw. Gebiete, 58 (1981), 55-67.
7) H. Kesten, Hitting probabilities of single points for processes with stationary independent increments, Mem. Amer. Math. Soc., 93, 1969.
8) S.C. Port and C.J. Stone, The asymmetric Cauchy processes on the line, Ann. Math. Stat., 40 (1969), 137-143.
9) S. Orey, Polar sets for processes with stationary independent increments, 117-126 of Markov processes and potential theory, edited by J. Chover, New York, 1967.
10) S.J. Taylor, On the connection between Hausdorff measures and generalized capacity, Proc. Cambridge Philos. Soc., 57 (1961), 524-531.

Right : [1] S. Bochner, Harmonic analysis and the theory of probability, Univ. of California Press, Berkeley, 1955.
[2] W. Feller, An introduction to probability theory and its applications, vol. II, John Wiley and Sons Inc., New York, 1966.
[3] J. Hawkes, Potential theory of Lévy processes, Proc. London Math. Soc., (3) 38 (1979), 335-352.
[4] M. Kanda, Some theorems on capacity for isotropic Markov processes with stationary independent increments, Japan. J. Math., 1 (1975), 37-66.
[5] M. Kanda, Two theorems on capacity for Markov processes with stationary independent increments, Z. Wahrscheinlichkeitstheorie und Verw. Gebiete, 35 (1976), 159-165.
[6] M. Kanda and M. Uehara, On the class of polar sets for symmetric Lévy processes on the line, Z. Wahrscheinlichkeitstheorie und Verw. Gebiete, 58 (1981), 55-67.
[7] H. Kesten, Hitting probabilities of single points for processes with stationary independent increments, Mem. Amer. Math. Soc., 93, 1969.
[8] S .C. Port and C. J. Stone, The asymmetric Cauchy processes on the line, Ann. Math. Stat., 40 (1969), 137-143.
[9] S. Orey, Polar sets for processes with stationary independent increments, 117-126 of Markov processes and potential theory, edited by J. Chover, New York, 1967.
[10] S. J. Taylor, On the connection between Hausdorff measures and generalized capacity, Proc. Cambridge Philos. Soc., 57 (1961), 524-531.

Date of correction: October 20, 2006 Reason for correction: - Correction: PDF FILE Details: -

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