The local non-homogeneous Tb theorem for vector-valued functions

Details The local non-homogeneous Tb theorem for vector-valued functions The local non-homogeneous Tb theorem for vector-valued functions

2012-01-03

arxiv.org/abs/1201.0648v1

Mathematics

Functional Analysis

Scientific paper

We extend the local non-homogeneous Tb theorem of Nazarov, Treil and Volberg to the setting of singular integrals with operator-valued kernel that act on vector-valued functions. Here, `vector-valued' means `taking values in a function lattice with the UMD (unconditional martingale differences) property'. A similar extension (but for general UMD spaces rather than UMD lattices) of Nazarov-Treil-Volberg's global non-homogeneous Tb theorem was achieved earlier by the first author, and it has found applications in the work of Mayboroda and Volberg on square-functions and rectifiability. Our local version requires several elaborations of the previous techniques, and raises new questions about the limits of the vector-valued theory.

Affiliated with

Also associated with

No associations

Rating

The local non-homogeneous Tb theorem for vector-valued functions 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 The local non-homogeneous Tb theorem for vector-valued functions, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The local non-homogeneous Tb theorem for vector-valued functions will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-183891