שלחו לחבר

Mappings with integrally controlled $p$-moduli

Seminar
Speaker
Prof. A. Golberg, Holon Institute of Technology
Date
04/01/2016 - 16:00 - 14:00
Place
2nd floor Colloquium Room, Building 216
Abstract

We consider classes of mappings (with controlled moduli) whose $p$-module of the families of curves/surfaces is restricted by integrals containing measurable functions and arbitrary admissible metrics. In the talk we discuss various properties of mappings with controlled moduli including their differential features (Lusin's  $N-$ and  $N^{-1}$-conditions, Jacobian bounds, estimates for distortion dilatations, H\"older/logarithmically H\"older continuity) and the topological structure (openness, discreteness, invertibility, finiteness of the multiplicity function). This allows us to investigate the interconnection between mappings of bounded and finite distortion defined analytically and mapping with controlled moduli having no analytic assumptions.

תאריך עדכון אחרון : 28/12/2015