8 papers · 1 filter
A real-variable construction with applications to BMO-Teichmüller theory
Huaying Wei, Michel Zinsmeister
With the use of real-variable techniques, we construct a weight function on the interval that is doubling and satisfies is a BMO function, but which is not a…
Beurling-Ahlfors extension by heat kernel, -weights for VMO, and vanishing Carleson measures
Huaying Wei, Katsuhiko Matsuzaki
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…
Teichmüller spaces of generalized symmetric homeomorphisms
Huaying Wei, Katsuhiko Matsuzaki
We introduce the concept of a new kind of symmetric homeomorphisms on the unit circle, which is derived from the generalization of symmetric homeomorphisms on the real line. By the…
Symmetric and strongly symmetric homeomorphisms on the real line with non-symmetric inversion
Huaying Wei, Katsuhiko Matsuzaki
We show an example of a symmetric homeomorphism of the real line onto itself such that is not symmetric. This implies that the set of all symmetric self-h…
BMO Teichmüller spaces and their quotients with complex and metric structures
Huaying Wei, Katsuhiko Matsuzaki
The paper presents some recent results on the BMO Teichmüller space, its subspaces and quotient spaces. We first consider the chord-arc curve subspace and prove that every element…
Ahlfors-regular curves and Carleson measures
Huaying Wei, Michel Zinsmeister
We study the relation between the boundary of a simply connected domain being Ahlfors-regular and the invariance of Carleson measures under the push-forward operator induced by a c…