Multiple factors at play, here.
The lens has a resolution of so many line-pairs per millimeter, and that is a fixed amount. If you cut an image (or piece of film) in half, there are half as many line-pairs left...the resultant cropped image has HALF of the resolution as the original image.
Then you double the mag factor to achieve a certain print size...if you magnified 22.3mm APS-C frame to 16x24", that is about 27x magnification; from 11.15mm recropped image, that would take almost 55x magnifcation to make the same 16x24" print! So your print quality reflects half as much resolution as well.
As for DOF, standard DOF calculations assume 8x10" print viewed from 12" away. When you double the magnification to make the print (above paragraph), the sharp details as well as the blurred details (Circle of Confusion) are all magnified, so your perception of 8x12" print made from your 11.15mm wide recropped image would have half the DOF as an 8x12" print made from 22.3mm APS-C frame!
As for bokeh, the quality remains the same. But your amount of blur is twice as much (magnified by twice as much, 2x the size of CofC blur circles). If it is pleasing bokeh that the lens provides, you have twice as much of it; but if the bokeh sucks (think about donuts from mirror lenses) the blur circles (or donuts) are twice as apparent, too.
