M412, Hong-Jing Hall, NCU
(中央大學鴻經館 M412)
Singular integrals associated with Zygmund dilations (I)
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Speakers
Yongsheng Han (Auburn University, USA)
Ming-Yi Lee (NCU)
Chin-Cheng Lin (NCU)
Abstract
Operators associated with a multiparameter family of dilations are studied. The Zygmund dilation on
is defined by %5Cmapsto%20(%5Cdelta_1%20x%2C%20%5Cdelta_2%20y%2C%20%5Cdelta_1%5Cdelta_2%20z)%24&chf=bg,s,333333&chco=ffffff)
, where 
. A class of singular integral operators associated with this dilation is introduced. We characterize kernels of these operators by certain regularity and three kinds of cancellation conditions.
