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| Ultima descărcare din IBN: 2022-09-23 19:09 |
 SM ISO690:2012LUPAȘCU-STAMATE, Oana. h-transform for Bochner subordinate Lp-semigroups. In: Conference on Applied and Industrial Mathematics: CAIM 2021, 17-18 septembrie 2021, Iași, România. Chișinău, Republica Moldova: Casa Editorial-Poligrafică „Bons Offices”, 2021, Ediţia a 28-a, p. 45. |
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| Conference on Applied and Industrial Mathematics Ediţia a 28-a, 2021 |
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Conferința "Conference on Applied and Industrial Mathematics" Iași, România, Romania, 17-18 septembrie 2021 | ||||||
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We show that the subordination induced by a convolution semigroup (subordination in the sense of Bochner) of a C0-semigroup of sub-Markovian operators on an Lp space is actually associated to the subordination of a right (Markov) process. As a consequence, we solve the martingale problem associate with the Lp-in nitesimal generator of the subordinate semigroup. It turns out that an enlargement of the base space is necessary. A main step in the proof is the preservation under such a subordination of the property of a Markov process to be a Borel right process. We also investigate the h-transform of a subordinate C0-semigroup of sub-Markovian operators on an Lp space. The results were obtained jointly with Lucian Beznea and Ana-Maria Boeangiu. |
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