Real Hardy spaces on real rank 1 semisimple Lie groups

Takeshi Kawazoe

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

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
Volume31
Issue number2
DOIs
Publication statusPublished - 2005

ASJC Scopus subject areas

  • Mathematics(all)

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