In the image below there is a rectangular roof above the entrance, which sits on four columns.
What is it called?
My guess: Apron
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It's an example of a portico:
A roofed entrance porch supported on at least one side by columns
Classical Greek architeture: A portico was the principal porch or entrance to a Greek temple, and was roofed and usually open at the sides. The number of columns that made up a portico determined its architectural name. For example, tetrastyle (four columns), hexastyle (six columns), octastyle (eight columns), decastyle (ten columns).
So the picture specifically depicts a tetrastyle portico.
I suppose portico may be the best word for the feature in your question. But a closely related word is marquee:
a permanent canopy often of metal and glass projecting over an entrance (as of a hotel or theater)
- The hotel doorman was stationed under the marquee.
A rooflike structure, often bearing a signboard, projecting over an entrance, as to a theater or hotel.
I concede that a marquee is typically constructed as a cantilever; i.e., not supported by columns.
I don’t know if there is a formal word for the roof part of a portico but the decorative bit around the edge is a cornice or frieze