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<creators>
<creator>
<creatorName>Lupașcu-Stamate, O.</creatorName>
<affiliation>Institutul de Statistică Matematică şi Matematică Aplicată „Gheorghe Mihoc-Caius Iacob” al Academiei Române, România</affiliation>
</creator>
</creators>
<titles>
<title xml:lang='en'>h-transform for Bochner subordinate Lp-semigroups</title>
</titles>
<publisher>Instrumentul Bibliometric National</publisher>
<publicationYear>2021</publicationYear>
<relatedIdentifier relatedIdentifierType='ISBN' relationType='IsPartOf'></relatedIdentifier>
<dates>
<date dateType='Issued'>2021</date>
</dates>
<resourceType resourceTypeGeneral='Text'>Conference Paper</resourceType>
<descriptions>
<description xml:lang='en' descriptionType='Abstract'><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></description>
</descriptions>
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<format>application/pdf</format>
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