I am an author in the tradition of Edgar Allan Poe, that is, the short story in its purest form, neither dominated by lengthy verbiage or unnecessary plots and story constructs, but rather exempliflied by the main points that Poe made clear, specifically "the unity of effect or impression."
Other influences would include H.P. Lovecraft's more Gothic stories; an excellent example of this would be "The Outsider."
I also write dark fantasy, though to a lesser extent, and writers who have been influential for me in this regard would include Angela Carter, with her elegant baroque quality, and la creme de la creme, Tanith Lee, whom I consider to be the only really important writer of our modern times, but sadly disregarded in lieu of authors of less deserving tomes of fiction. I am currently editing a book in the dark fantasy vein which will be available in the near future.
Another author I'd give kudos to would be Margeurite Duras.
In addition to short stories, novels, and articles (I am a published author who writes under various pen names), I also write poetry. The only poets I would deem truly influential for me here would include most of the symbolist poets, especially the German and French, some works by Sylvia Plath, but by far, the most influential would be Charles Baudelaire.