Operator Valued Hardy Spaces

Details Operator Valued Hardy Spaces Operator Valued Hardy Spaces

2003-11-11

arxiv.org/abs/math/0311160v3

MAMS 2007 no. 881

Mathematics

Classical Analysis and ODEs

67 pages

Scientific paper

We give a systematic study on the Hardy spaces of functions with values in the non-commutative $L^p$-spaces associated with a semifinite von Neumann algebra ${\cal}M.$ This is motivated by the works on matrix valued Harmonic Analysis (operator weighted norm inequalities, operator Hilbert transform), and on the other hand, by the recent development on the non-commutative martingale inequalities. Our non-commutative Hardy spaces are defined by the non-commutative Lusin integral function.

Affiliated with

Also associated with

No associations

Rating

Operator Valued Hardy Spaces does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Operator Valued Hardy Spaces, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Operator Valued Hardy Spaces will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-421682