Hardy and BMO spaces associated to divergence form elliptic operators

Details Hardy and BMO spaces associated to divergence form elliptic operators Hardy and BMO spaces associated to divergence form elliptic operators

2006-11-27

arxiv.org/abs/math/0611804v2

Mathematics

Analysis of PDEs

60 pages

Scientific paper

Consider the second order divergence form elliptic operator $L$ with complex bounded coefficients. In general, the operators related to it (such as Riesz transform or square function) lie beyond the scope of the Calder\'{o}n-Zygmund theory. They need not be bounded in the classical Hardy, BMO and even some $L^p$ spaces. In this work we generalize the classical approach and develop a theory of Hardy and BMO spaces associated to $L$, which includes, in particular, molecular decomposition, maximal function characterization, duality of Hardy and BMO spaces, John-Nirenberg inequality, and allows to handle aforementioned operators.

Affiliated with

Also associated with

No associations

Rating

Hardy and BMO spaces associated to divergence form elliptic operators 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 Hardy and BMO spaces associated to divergence form elliptic operators, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Hardy and BMO spaces associated to divergence form elliptic operators will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-23505