Real Hardy spaces on real rank 1 semisimple Lie groups

Takeshi Kawazoe

Research output: Contribution to journalArticlepeer-review

3 Citations (Scopus)


Let G be a real rank one connected semisimple Lie group with finite center. We introduce a real Hardy space H1(G/K) on G as the space consisting of all K-bi-invariant functions f on G whose radial maximal functions Mϕf are integrable on G. We shall obtain a relation between H1(G/K) and H1(R), the real Hardy space on the real line R, via the Abel transform on G and give a characterization of H1(G/K).

Original languageEnglish
Pages (from-to)281-343
Number of pages63
JournalJapanese Journal of Mathematics
Issue number2
Publication statusPublished - 2005

ASJC Scopus subject areas

  • General Mathematics


Dive into the research topics of 'Real Hardy spaces on real rank 1 semisimple Lie groups'. Together they form a unique fingerprint.

Cite this