Representation of singular integrals by dyadic operators, and the A_2 theorem

Details Representation of singular integrals by dyadic operators, and the A_2 theorem Representation of singular integrals by dyadic operators, and the A_2 theorem

2011-08-25

arxiv.org/abs/1108.5119v1

Mathematics

Classical Analysis and ODEs

32 pages

Scientific paper

These expository lectures present a self-contained proof of the $A_2$ theorem - the sharp weighted norm inequality for Calderon-Zygmund operators in L^2(w) -, which is here formulated in such a way as to reveal some additional information implicit in the earlier papers. This added data gives at once a new weighted bound for powers of the Ahlfors-Beurling operator, discussed in the end. A key ingredient of the A_2 theorem is the probabilistic Dyadic Representation Theorem, for which a slightly simplified proof is given, avoiding conditional probabilities which were needed in the earlier arguments.

Affiliated with

Also associated with

No associations

Rating

Representation of singular integrals by dyadic operators, and the A_2 theorem 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 Representation of singular integrals by dyadic operators, and the A_2 theorem, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Representation of singular integrals by dyadic operators, and the A_2 theorem will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-319314