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A note on the existence of singular integrals |
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| Authors: | Sun Yongzhong |
| Affiliation: | (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 x∃R n and TF∃Lipα(R n ). |
| Keywords: | 42B25 |
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