This is established with the verse:
“There is no animate being that He does not hold (program with the Name Fatir) by its forehead (brain) (i.e. subjugate to His command).”
Thus, every perceivable and unperceivable thing is forever subject to His knowledge and administration, and continues its existence and acts with His power.
As for ‘the worlds’…
Every unit (note that I’m saying ‘unit’ not human, angel, jinn or animal, etc.) perceives its own dimension; this is its ‘world’! In this light, it's correct to say every unit is itself a world! For everything that is perceived is no other than a collection of images in the mind of that unit!
The things we see are images formed in our brain. When we claim to see something we are actually saying:
Electromagnetic signals coming into my brain from outside are processed according to my already existing database to form this image! The things I’m perceiving are taking these forms and images according to my mind!
But is this is the absolute truth?
Indeed, all things we perceive are various compositions of the Names of Allah, reflecting to our consciousness…
To summarize the meaning of the phrase, “Hamd belongs to the Rabb of the worlds”:
To comprehend and evaluate Allah, who creates all units as He wills and who guides them to their point of perfection in a way most suitable to their creational purpose, is not something the units can do, Hamd belongs only to Allah, the Rabb of all things!
 Quran 11:56