A family of Bochner-Riesz type multipliers on the two-dimensional disk |
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Authors: | Daniele Debertol |
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Institution: | Scuola Normale Superiore, Pisa, Italy |
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Abstract: | Let s=(ν,μ)∈R2 and define on R2. Given p∈1,+∞, we prove some necessary and sufficient conditions on s such that ms be a Fourier multiplier for Lp. We employ two different techniques, according to ν=0 or ν≠0. In the latter case, the results obtained are optimal. |
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Keywords: | Bochner-Riesz multipliers 3-Dimensional light cone Marcinkiewicz multipliers |
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