Mappings with integrally controlled moduli: regularity properties

שלחו לחבר
Seminar
Speaker
Prof. A. Golberg, Holon Institute of Technology
Date
11/12/2017 - 15:30 - 14:00
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.