Abstract
The main result of this chapter is a Marcinkiewitcz multiplier theorem for h-harmonic expansions. Its proof uses general Littlewood–Paley theory for a symmetric diffusion semi-group. Several Littlewood–Paley type g-functions are introduced and studied via the Cesàro means for h-harmonic expansions.
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Dai, F., Xu, Y. (2015). Littlewood–Paley Theory and the Multiplier Theorem. In: Tikhonov, S. (eds) Analysis on h-Harmonics and Dunkl Transforms. Advanced Courses in Mathematics - CRM Barcelona. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-0887-3_4
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DOI: https://doi.org/10.1007/978-3-0348-0887-3_4
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Publisher Name: Birkhäuser, Basel
Print ISBN: 978-3-0348-0886-6
Online ISBN: 978-3-0348-0887-3
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