Abstract
We study the L p boundedness of the generalized Bochner–Riesz means S λ which are defined as
where \({\rho(\xi) = {\rm max}\{|\xi_{1}|, \ldots, |\xi_{\ell}|\}}\) for \({\xi = (\xi_{1},\ldots, \xi_{\ell}) \in \mathbb{R}^{{d}_{1}} \times \cdots \times \mathbb{R}^{{d}_{\ell}}}\) and \({\mathcal{F}^{-1}}\) is the inverse Fourier transform.
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Y. Heo was supported by NRF grant 2012R1A1A1011889, Y. Koh was supported by NRF grant 2012-008373, and C.W. Yang was supported by NRF grant 2013R1A1A2013659.
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Heo, Y., Koh, Y. & Yang, C.W. Bochner–Riesz Means with Respect to a Generalized Cylinder. Integr. Equ. Oper. Theory 79, 1–21 (2014). https://doi.org/10.1007/s00020-014-2131-3
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DOI: https://doi.org/10.1007/s00020-014-2131-3