supported by the National Natural Science Foundation of China(Nos.11201222,11171146);the Basic Research Program of Jiangsu Province(No.BK2008013);a program of the Priority Academic Program Development of Jiangsu Province
For a family of smooth functions, the author shows that, under certain generic conditions, all extremal(minimal and maximal) points are non-degenerate.
supported by the National Natural Science Foundation of China (Grant No. 10571028)
Let T(△) and B(△) be the Teichmuller space and the infinitesimal Teichmuller space of the unit disk △ respectively. In this paper, we show that [ν]B(△) being an infinitesimal Strebel point does not imply that [ν...
Supported by the National Science Foundation of China(Grants No.10171003 and 10231040);the Doctoral Education Program Foundation of China
In this paper, we introduce an operator Hμ(z) on L^∞(△) and obtain some of its properties. Some applications of this operator to the extremal problem of quasiconformal mappings are given. In particular, a suffi...
Project supported by the National Natural Science Foundation of China (No.10171003, No.10231040) the Doctoral Education Program Foundation of China.
This paper studies extremal quasiconformal mappings. Some properties of the variability set are obtained and the Hamilton sequences which are induced by point shift differentials are also discussed.
It is proved that Kq(h)=K0(h) for every h in some class of quasisymmetric mappings of the unit circle with substantial points, where Kq(h):=sup{M(h(Q))/M(Q); Qis a quadrilateral with the domain unit disk} and K0(h) is...
Project supported by the National Natural Science Foundation of China (Grant No. 19531060);the Doctoral Education Program Foundation of China
LetT be the universal Teichmüller space viewed as the set of all normalized quasisymmetric homeomorphism of the unit circleS 1=?Δ. Denote byV h [z 0] the variability set ofz 0 with respect toh∈T. The following is p...