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arXiv · 2305.06039

Improved multiplier theorems on rank one noncompact symmetric spaces

Błażej Wróbel
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Abstract

We prove multiplier theorems on rank one noncompact symmetric spaces which improve aspects of existing results. A common theme of our main results is that we partially drop specific assumptions on the multiplier function such as a Mikhlin-Hörmander condition. These are replaced by a requirement that parts of the multiplier function on the critical $p$ strip give rise to bounded Fourier multipliers.

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Błażej Wróbel. 2023-05-10. Improved multiplier theorems on rank one noncompact symmetric spaces. https://arxiv.org/abs/2305.06039

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