New Abstract Hardy Spaces

Details New Abstract Hardy Spaces New Abstract Hardy Spaces

2007-12-19

arxiv.org/abs/0712.3114v1

Mathematics

Functional Analysis

53 pages

Scientific paper

The aim of this paper is to propose an abstract construction of spaces which keep the main properties of the (already known) Hardy spaces H^1. We construct spaces through an atomic (or molecular) decomposition. We prove some results about continuity from these spaces into L^1 and some results about interpolation between these spaces and the Lebesgue spaces. We also obtain some results on weighted norm inequalities. Then we apply this abstract theory to the L^p maximal regularity. Finally we present partial results in order to understand a characterization of the duals of Hardy spaces.

Affiliated with

Also associated with

No associations

Rating

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

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-146275