Improved multiplier theorems on rank one noncompact symmetric spaces. (arXiv:2305.06039v1 [math.FA])
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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-H\"ormander 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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