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比利时vs摩洛哥足彩
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比利时vs摩洛哥足彩
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university of california san diego
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math 278 - analysis colloquium
xiaochun li
ucla
the hilbert transform along $c^{1+epsilon}$ vector fields
abstract:
let $v$ be a vector field from ${mathbb r}^2$ to the unit circle ${mathbb s}^1$. we study the operator $$ h_vf(x)= p.v. int_{-1}^{1}f(x-tv(x))frac{dt}{t},.$$ we prove that if the vector field $v$ has $1+epsilon$ derivatives, then $h_v$ extends to a bounded map from $l^2$ into itself.
host: peter ebenfelt
february 3, 2004
9:00 am
ap&m 6438
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