A note on the BMO-Teichmüller space

A Note on Decomposition of the Distribution on Bmo Space

This note is a continuation of the work described in the paper [4]. We prove that there are two bounded complementary projection operators P = ∇ (∆−1div) and Q = Div ( ∆−1curl) defined on the class of vectors fields −→ h ∈ E. AMS Mathematics Subject Classification (2000): 42B20, 42B35

Quantum Teichmüller Space

We describe explicitly a noncommutative deformation of the *-algebra of functions on the Teichmüller space of Riemann surfaces with holes equivariant w.r.t. the mapping class group action.

A note on modular hyperconvex space

Dynamics over Teichmüller Space

Fuzzy Subgroups and the Teichmüller Space

There exists a generalization of the Teichmüller space of a covering group. In this paper we combine this generalized Teichmüller space T (G) and any fuzzy subgroup A : G−→ F where G is a subgroup of the group consisting of such orientation preserving and orientation reversing Möbius transformations which act in the upper half-plane of the extended complex plane. A partially ordered set F = (F ...