Triple Hilbert Transforms Along Polynomial Surfaces |
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| Authors: | Yong-Kum Cho Sunggeum Hong Joonil Kim Chan Woo Yang |
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| Institution: | (1) Department of Mathematics, University of Michigan, 530 Church Street, Ann Arbor, MI 48109-1043, USA |
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| Abstract: | Given
W ì \mathbbZ+3\Omega \subset {\mathbb{Z}}_{+}^{3}, we discuss a necessary and sufficient condition that the triple Hilbert transform associated with any polynomial of the
form ($t_1, t_2, t_3,\sum_{m
\in \Omega} a_{m} t^m$t_1, t_2, t_3,\sum_{m
\in \Omega} a_{m} t^m) is bounded in
Lp(\mathbbR4)L^p({\mathbb{R}}^4). |
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| Keywords: | |
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