Sharp bounds for multiplier operators of negative indices associated with degenerate curves |
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| Authors: | Sanghyuk Lee Ihyeok Seo |
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| Affiliation: | 1. School of Mathematical Sciences, Seoul National University, Seoul, 151-742, Korea
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| Abstract: | In this note we show the sharp L p ?CL q boundedness of multiplier operators of Bochner?CRiesz type having negative indices of which singularity is located in degenerate curve in ${mathbb{R}^2}$ . L p ?CL q boundedness of their maximal operators is also obtained. |
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