论文标题
热核的beurling-ahlfors扩展，$ {\ rm a} _ \ infty $ - vmo的unfty $ - weights for vmo，并消失了卡莱森的措施
Beurling-Ahlfors extension by heat kernel, ${\rm A}_\infty$-weights for VMO, and vanishing Carleson measures
论文作者
论文摘要
我们调查了由热核的卷积给出的真实线的甲级对称同型同态的变体的变体，并证明了这种形式形式的复杂扩张的复杂扩张，即强烈的对称同质形态的同型同质形态（即其派生率是$ _________________________________。 VMO）在上半平面上引起了消失的Carleson措施。
We investigate a variant of the Beurling-Ahlfors extension of quasisymmetric homeomorphisms of the real line that is given by the convolution of the heat kernel, and prove that the complex dilatation of such a quasiconformal extension of a strongly symmetric homeomorphism (i.e. its derivative is an ${\rm A}_\infty$-weight whose logarithm is in VMO) induces a vanishing Carleson measure on the upper half-plane.
