Mappings with integrally controlled moduli: regularity properties

Seminar
Speaker
Prof. A. Golberg, Holon Institute of Technology
Date
11/12/2017 - 15:30 - 14:00Add to Calendar 2017-12-11 14:00:00 2017-12-11 15:30:00 Mappings with integrally controlled moduli: regularity properties We consider the classes of homeomorphisms of domains in $\mathbb R^n$ with $p$-moduli of the families of curves and surfaces integrally bounded from above and below. These classes essentially extend the well-known classes of mappings such as quasiconformal, quaiisometric, Lipschitzian, etc. In the talk, we survey the known results in this field but mainly establish new differential properties of such mappings. A collection of related open problems will also be presented. 2nd floor Colloquium Room, Building 216 אוניברסיטת בר-אילן - Department of Mathematics mathoffice@math.biu.ac.il Asia/Jerusalem public
Place
2nd floor Colloquium Room, Building 216
Abstract

We consider the classes of homeomorphisms of domains in $\mathbb R^n$ with $p$-moduli
of the families of curves and surfaces integrally bounded from above and below. These
classes essentially extend the well-known classes of mappings such as quasiconformal,
quaiisometric, Lipschitzian, etc.
In the talk, we survey the known results in this field but mainly establish new differential
properties of such mappings. A collection of related open problems will also be presented.

Last Updated Date : 12/12/2017