From Wikipedia, (some of these link to Russian wikipedia):

First three below are technical measurements:

Luminosity is a measurement of brightness. Each discipline, however, defines the term differently, depending on what is being measured (one could be like total light energy given off by radiating body).

Luminance is a photometric measure of the luminous intensity per unit area of light travelling in a given direction (unidirectional)

In photometry, illuminance is the total luminous flux falling on a surface, per unit area. (And so can be coming from different directions)

Brightness is the perception elicited by the luminance of a visual target.
=> subjective attribute/property.

Lightness is the subjective brightness perception of a color for humans.