Some Local Multipliers Associated with the Ornstein-Uhlenbeck Operator
This thesis combines ideas from  and  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]
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