111 Melkana Brakalova-Trevithick

Melkana Brakalova-Trevithick (Fordham University, Bronx, NY) // On one-quasiconformality at a point and the integrable subspaces of the universal Teichmüller space // Abstract: // We discuss in detail regularity properties of quasiconformal maps of a domain in the complex plane considering both geometric conditions and integral conditions on the dilation that relate to conformality, weak conformality and, in general, one--quasiconformality at a point. We demonstrate how such properties can be applied to the study of symmetry/smoothness of the elements of the p-integrable Teichmüller subspaces for p>0 and 0