Real Hardy spaces on real rank 1 semisimple Lie groups
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概要
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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).
- 2005-12-01
著者
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Kawazoe Takeshi
Department Of Mathematics Keio University
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Kawazoe Takeshi
Department Of Mathematics Faculty Of Science And Technology Keio University
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