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Bull. Korean Math. Soc. 2010; 47(3): 483-490
Printed May 1, 2010
https://doi.org/10.4134/BKMS.2010.47.3.483
Copyright © The Korean Mathematical Society.
A note on semi-selfdecomposability and operator semi-stability in subordination
Gyeong Suk Choi, Yun Kyong Kim, and Sang Yeol Joo
Kangwon National University, Dongshin University, and Kangwon National University
Some results on inheritance of operator semi-selfdecomposability and its decreasing subclass property from subordinator to subordinated in subordination of a L\'{e}vy process are given. A main result is an extension of results of [5] to semi-selfdecomposable subordinator. Its consequence is discussed.
Keywords: operator semi-selfdecomposability, operator semi-stability, strict operator semi-stability, subordination, semi-selfdecomposability
MSC numbers: Primary 60G51; Secondary 60E07
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