dc.contributor.advisor | Pisier, Gilles | |
dc.creator | Mei, Tao | |
dc.date.accessioned | 2006-10-30T23:33:41Z | |
dc.date.available | 2006-10-30T23:33:41Z | |
dc.date.created | 2006-08 | |
dc.date.issued | 2006-10-30 | |
dc.identifier.uri | https://hdl.handle.net/1969.1/4427 | |
dc.description.abstract | We give a systematic study of the Hardy spaces of functions with values in
the non-commutative Lp-spaces associated with a semifinite von Neumann algebra
M. This is motivated by matrix valued harmonic analysis (operator weighted norm
inequalities, operator Hilbert transform), as well as by the recent development of
non-commutative martingale inequalities. Our non-commutative Hardy spaces are
defined by non-commutative Lusin integral functions. It is proved in this dissertation
that they are equivalent to those defined by the non-commutative Littlewood-Paley
G-functions.
We also study the Lp boundedness of operator valued dyadic paraproducts and
prove that their Lq boundedness implies their Lp boundedness for all 1 < q < p < âÂÂ. | en |
dc.format.extent | 642062 bytes | en |
dc.format.medium | electronic | en |
dc.format.mimetype | application/pdf | |
dc.language.iso | en_US | |
dc.publisher | Texas A&M University | |
dc.subject | Hardy Space | en |
dc.subject | BMO Space | en |
dc.subject | Maximal Function | en |
dc.subject | von Neumann algebra | en |
dc.subject | noncommutative Lp space | en |
dc.subject | interpolation | en |
dc.subject | Lusin integral | en |
dc.title | Operator valued Hardy spaces and related subjects | en |
dc.type | Book | en |
dc.type | Thesis | en |
thesis.degree.department | Mathematics | en |
thesis.degree.discipline | Mathematics | en |
thesis.degree.grantor | Texas A&M University | en |
thesis.degree.name | Doctor of Philosophy | en |
thesis.degree.level | Doctoral | en |
dc.contributor.committeeMember | Cline,Daren | |
dc.contributor.committeeMember | Johnson,William | |
dc.contributor.committeeMember | Smith,Roger | |
dc.type.genre | Electronic Dissertation | en |
dc.type.material | text | en |
dc.format.digitalOrigin | born digital | en |