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A note on the existence of singular integrals
Authors:Sun Yongzhong
Institution:(1) Dept. of Math., Zhejiang Univ., 310028 Hangzhou;(2) Dept. of Math., Wenzhou Teacher’s College, 325003 Wenzhou
Abstract:In this note the existence of a singular integral operator T acting on Lip a(R n ) spaces is studied. Suppose f∃Lipα(R n ) (0<α<). It Tf (x o ) exists for a single point x o then Tf(x) exists everywhere for xR n and TF∃Lipα(R n ).
Keywords:42B25
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