As the APS-C sensor is smaller than the full frame sensor (also known as 35mm), the same lens will look different depending on which type of camera/sensor you mount it. The Sony APS-C sensors are approx. 1.5 times smaller than a full frame and other manufactures (such as Canon) is 1.6 times smaller.
Full-frame has shallower DOF when comparing equivalent focal length, or in other words lenses that produce the same field of view on the different sensor. This means APS-C will have a shorter focal length, which results in wider DOF. APS-C will also have wider DOF when comparing shooting with the same focal length and achieving the same framing.
Get the full-frame (35mm) equivalent focal length and aperture for different sensor sizes. Just enter the focal length and maximum aperture of your lens and then choose a sensor size. My mm f/ lens, on a Micro Four Thirds Canon APS-C Nikon APS-C APS-H Cropped Medium Format Medium Format sensor, is equivalent to a 157.5 mm f/ 2.1 lens. The implication is that if a full-frame lens is used on a camera with an APS-C sized sensor, only the middle portion of the image circle is used and the image will appear as if it has been made by a lens with a focal length that is 1.5x longer than the actual marked length. If an APS-C format lens is used on a full-frame camera it is incapable .