Hardy spaces related to Schrödinger operators with potentials which are sums of L^p-functions

Details Hardy spaces related to Schrödinger operators with potentials which are sums of L^p-functions Hardy spaces related to Schrödinger operators with potentials which are sums of L^p-functions

2011-09-26

arxiv.org/abs/1109.5626v1

Mathematics

Functional Analysis

Scientific paper

We investigate the Hardy space H^1_L associated to the Schr\"odinger operator L=-\Delta+V on R^n, where V=\sum_{j=1}^d V_j. We assume that each V_j depends on variables from a linear subspace VV_j of \Rn, dim VV_j \geq 3, and V_j belongs to L^q(VV_j) for certain q. We prove that there exist two distinct isomorphisms of H^1_L with the classical Hardy space. As a corollary we deduce a specific atomic characterization of H_L^1. We also prove that the space H_L^1 is described by means of the Riesz transforms R_{L,i} = \partial_i L^{-1/2}.

Affiliated with

Also associated with

No associations

Rating

Hardy spaces related to Schrödinger operators with potentials which are sums of L^p-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 Hardy spaces related to Schrödinger operators with potentials which are sums of L^p-functions, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Hardy spaces related to Schrödinger operators with potentials which are sums of L^p-functions will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-689854