𝐻^{𝑝} estimates for bi-invariant operators on compact Lie groups

Author:

Fan Da Shan,Xu Zeng Fu

Abstract

The main purpose of this paper is to extend to compact Lie groups a Hörmander multiplier theorem concerning translation invariant operators on Hardy spaces H p , 0 > p 1 {H^p},0 > p \leq 1 .

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Reference14 articles.

1. B. Blank and D. Fan, 𝐻^{𝑝} spaces on compact Lie groups (submitted).

2. Embedding and multiplier theorems for 𝐻^{𝑃}(𝑅ⁿ);Baernstein, A., II;Mem. Amer. Math. Soc.,1985

3. Approximation of 𝐻^{𝑝}-functions by Bochner-Riesz means on compact Lie groups;Bloom, Walter R.;Math. Z.,1994

4. Bochner-Riesz means of 𝐻^{𝑝} functions (0<𝑝<1) on compact Lie groups;Clerc, Jean-Louis,1987

5. Parabolic maximal functions associated with a distribution. II;Calderón, A.-P.;Advances in Math.,1977

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