Hi Natmarie,
I have a layman's understanding, tempered with 20 years of reading scientific journals and books.
Global dimming had its greatest local effects before measurement occurred - during the early industrial age when coal smog became a major issue in countries such as England.
It's been tapering off because humans have been very diligent about removing the visual evidence without removing the major issue... essentially we've done a good job of moving away from the visible pollution caused by urning processes and aerosols.
Note that global dimming didn't peak until a few years after a lot of these pollutants were under control - nature doesn't respond instantly to change
While global dimming supposedly offset global warming, there's really not much evidence of this - partly as we simply haven't collected much evidence and have a very short baseline to measure against, but also partly because dimming can also lead to increased heat retention.....
Dimming occurs when large particles in the atmosphere block visible light.
In certain cases, when particles are reflective, the light (and potentially the heat as well) is reflected back into space.
However when the particles are absorptive rather than reflective, the light is still blocked, causing dimming at the earth's surface, but the heat is absorbed into the particles and can build up, resulting in further increases in temperature in the upper atmosphere and unusual weather changes.
The Wikipedia article doesn't go into this area of the theory.
Something else to keep in mind is that we are, in many scientists' opinions, are overdue for the next ice age and global warming may be helping balance this.
Of course the cure could be worse than the disease....
Cheers,
Aceyducey