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Some Local Multipliers Associated with the Ornstein-Uhlenbeck Operator

Dai, Zanbing

Description

This thesis combines ideas from [19] and [21] to introduce two main spectral multipliers results for the Ornstein Uhlenbeck operator in Section 4. Chapter 1 introduces basic de nitions and properties of Markov semigroups and shows how they relate to the Ornstein Uhlenbeck operator. Lots of researchers study the hy- percontractivity result via Markov segmigroups. Chapter 2 describes the notions of weighted Nash inequalities and show how to deduce a hypercontrativity result (Theorem 2.7) from...[Show more]

CollectionsOpen Access Theses
Date published: 2017
Type: Thesis (Masters)
URI: http://hdl.handle.net/1885/173609
DOI: 10.25911/5d9efb24be809

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