A note on the existence of singular integrals |
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Authors: | Sun Yongzhong |
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Institution: | (1) Dept. of Math., Zhejiang Univ., 310028 Hangzhou;(2) Dept. of Math., Wenzhou Teacher’s College, 325003 Wenzhou |
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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
). |
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Keywords: | 42B25 |
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