TY - JOUR
T1 - Besov and hardy spaces associated with the schrödinger operator on the heisenberg group
AU - Gong, Ruming
AU - Li, Ji
AU - Song, Liang
PY - 2014/1
Y1 - 2014/1
N2 - We introduce the Besov space Ḃ0,L 1,1 associated with the Schrödinger operator L with a nonnegative potential satisfying a reverse Hölder inequality on the Heisenberg group, and obtain the molecular decomposition. We also develop the Hardy space HL 1 associated with the Schrödinger operator via the Littlewood-Paley area function and give equivalent characterizations via atoms, molecules, and the maximal function. Moreover, using the molecular decomposition, we prove that Ḃ0,L 1,1 is a subspace of HL 1
AB - We introduce the Besov space Ḃ0,L 1,1 associated with the Schrödinger operator L with a nonnegative potential satisfying a reverse Hölder inequality on the Heisenberg group, and obtain the molecular decomposition. We also develop the Hardy space HL 1 associated with the Schrödinger operator via the Littlewood-Paley area function and give equivalent characterizations via atoms, molecules, and the maximal function. Moreover, using the molecular decomposition, we prove that Ḃ0,L 1,1 is a subspace of HL 1
UR - http://www.scopus.com/inward/record.url?scp=84891555581&partnerID=8YFLogxK
U2 - 10.1007/s12220-012-9331-3
DO - 10.1007/s12220-012-9331-3
M3 - Article
AN - SCOPUS:84891555581
SN - 1050-6926
VL - 24
SP - 144
EP - 168
JO - Journal of Geometric Analysis
JF - Journal of Geometric Analysis
IS - 1
ER -