Some Local Multipliers Associated with the Ornstein-Uhlenbeck Operator

dc.contributor.authorDai, Zanbing
dc.date.accessioned2019-10-10T02:02:26Z
dc.date.available2019-10-10T02:02:26Z
dc.date.issued2017
dc.date.updated2019-10-10T00:54:22Z
dc.description.abstractThis 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 these inequalities based on paper [13]. A brief introduction to the Spectral theory and the main theorem of paper [19] is given in Section 3.
dc.format.mimetypeapplication/pdf
dc.identifier.otherb71495988
dc.identifier.urihttp://hdl.handle.net/1885/173609
dc.provenanceDeposited by Mathematical Sciences Institute in 2019.
dc.titleSome Local Multipliers Associated with the Ornstein-Uhlenbeck Operator
dc.typeThesis (Masters)
local.contributor.affiliationMathematical Sciences Institute, Australian National University
local.contributor.authoremailrepository.admin@anu.edu.au
local.contributor.supervisorPortal, Pierre
local.identifier.doi10.25911/5d9efb24be809
local.mintdoimint
local.type.degreeMasters

Downloads

Original bundle

Now showing 1 - 1 of 1
Loading...
Thumbnail Image
Name:
Zanbing Dai.pdf
Size:
437.76 KB
Format:
Adobe Portable Document Format
Back to topicon-arrow-up-solid
 
APRU
IARU
 
edX
Group of Eight Member

Acknowledgement of Country

The Australian National University acknowledges, celebrates and pays our respects to the Ngunnawal and Ngambri people of the Canberra region and to all First Nations Australians on whose traditional lands we meet and work, and whose cultures are among the oldest continuing cultures in human history.


Contact ANUCopyrightDisclaimerPrivacyFreedom of Information

+61 2 6125 5111 The Australian National University, Canberra

TEQSA Provider ID: PRV12002 (Australian University) CRICOS Provider Code: 00120C ABN: 52 234 063 906