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<cfResPublDate>2021</cfResPublDate>
<cfVol>Ediţia a 28-a</cfVol>
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<cfTitle cfLangCode='EN' cfTrans='o'>h-transform for Bochner subordinate Lp-semigroups</cfTitle>
<cfAbstr cfLangCode='EN' cfTrans='o'><p>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.</p></cfAbstr>
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