Besov and hardy spaces associated with the schrödinger operator on the heisenberg group

Ruming Gong, Ji Li*, Liang Song

*Corresponding author for this work

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

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

Original languageEnglish
Pages (from-to)144-168
Number of pages25
JournalJournal of Geometric Analysis
Volume24
Issue number1
DOIs
Publication statusPublished - Jan 2014
Externally publishedYes

Fingerprint Dive into the research topics of 'Besov and hardy spaces associated with the schrödinger operator on the heisenberg group'. Together they form a unique fingerprint.

Cite this