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Lusin area integral function on Lip α(R n)(0<α<1)
Pages: 14-19
Year: Issue:  2
Journal: Yantai Teachers University journal(Natural Science

Keyword:  Lip α(R n)(0<α<1)Lusin area integral functionLip α norm;
Abstract: 证明了当f∈Lipα(Rn)(0<α<1/2)时,f的S函数或处处有限,或处处为∞;如属前者,则S(f)∈Lipα(Rn)(0<α<1/2),且S(f)∧α≤Cf∧α,其中C是与维数n,α有关的常数.
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