Jännekaarikäyrien avaruus ja Teichmüllerin BMO/VMO-avaruus

This paper focuses on the structure of the subspace T_c of the BMO Teichmüller space T_b corresponding to chord-arc curves, which contains the VMO Teichmüller space T_v. We prove that T_c is not a subgroup with respect to the group structure of T_b, but it is preserved under the inverse operation and the left and the right translations by any element of T_v. Moreover, we show that T_b has a fiber structure induced by T_v, and the complex structure of T_b can be projected down to the quotient space T_v\T_b. Then, we see that T_c consists of fibers of this projection, and its quotient space also has the induced complex structure.