Analysis seminar: Irina Markina
Hovedinnhold
Speaker: Irina Markina, Professor, Mathematical Department, UiB
Title: Differentiating of measures.
Abstract: We will defined the derivative of one measure with respect to another and will study when this derivative exists. As a corollary we obtain the generalised first theorem of calculus and Radon-Nikodim theorem. We also will discuss the Hardy-Littlwood maximal function and the Caratheodory construction of outer measures, that particularly leads to the Hausdorff measure.
Title: Differentiating of measures.
Abstract: We will defined the derivative of one measure with respect to another and will study when this derivative exists. As a corollary we obtain the generalised first theorem of calculus and Radon-Nikodim theorem. We also will discuss the Hardy-Littlwood maximal function and the Caratheodory construction of outer measures, that particularly leads to the Hausdorff measure.
15.09.2014