Looking at the edge as a whole, obviously there is not plastic deformation of the whole edge during sharpening. So there is no work hardening from this.
Regarding work hardening from sharpening, it does not occur when it comes to low speed abrasive wear with hardened, tempered, martensitic steel. See third paragraph of the link below. The failure mechanism for low speed abrasion is brittle failure due to the brute force removal of material, not brittle failure due to microscopic deformation & the resultant strain hardening (work hardening).
http://resources.metapress.com/pdf-preview.axd?code=qh36vk634q2w3p38&size=largest
They used an ESM to inspect the affects of the abrasion in the above, & plastic deformation was observed even with steels that do not work harden with abrasion (they saw plastic deformation at the bottom of the gouge from the abrasive, and brittle failure & cracking perpendicular to the direction of the abrasive particles at the ridges).
But work hardening from abrasive wear does occur with austenitic steels. The mechanics of wear I would guess also to be brittle fracture, but after deformation and the resultant work hardening (this mechanism is discussed in the 1st link, but not with an austenitic precipitation hardening steel like H1).
http://www.outokumpu.com/pages/Page____5763.aspx
The above link is more relatable to machining, but sharpening is basically machining. So work hardening of the surface of an austenitic steel from sharpening does occur, but what I'm not sure about is the measure of hardness that can be obtained, the extent of hardening, & the thickness of penetration of the hardening - they will depend on numerous factors and are debatable without testing (they are all testable & measurable). (see second column of the link below-lots of good info here I'm trying to digest)
http://books.google.com/books?id=Or... wear work hardening austenitic steel&f=false
This topic is very applicable to the oft-heard conjecture about how an edge dulls in use - If you understand the mechanics of abrasive wear for a steel (some good info in the 1st link on this), you can relate it to the portion of the dulling equation dependent on abrasive wear.