It's too broad a question.
The "market" is how you define it and how you get your photographs in front of the people who might purchase them. I sell some of my images printed on canvas at art shows, as do hundreds of other photographers.

My question to you is how do you market your images that aren't printed on canvas, and what makes you think printing on canvas is any different?

Most of the photographers who do print on canvas use archival Epson inks and Epson canvas with the latest Epson printers.

Here's a post on the digital darkroom forum about printing on canvas with your printer.

Thanks for your initial input. To be more specific, i showed some prints to a person in a frame shop who said that she liked some of my work, and asked if i could print on canvas. I said "probably", knowing that there must be some kind of paper out there. The way she works is to take prints on consignment - if they sell, she gets 30%, i would get 70%. She said that canvas is very popular at this time, and things would sell better if they were. I may have a partial answer, when i went to B&H website and found a brand called "Legion" with the following specs:
Legion Premium Canvas Paper is a matte finished, water-resistant inkjet canvas that captures the look and feel of an oil painting. The Premium Canvas is designed for printing photographs that, when framed, will enable the photographer to convey a timeless appeal usually associated with classic paintings.

Made from a poly/cotton blend. This is a true archival inkjet canvas with a neutral pH that is compatible with both dye-based and pigments based inks. The material specially crafted to be flexible to stretching and framing while maintaining durability without cracking or tearing.

So i guess canvas will work ok with an inkjet such as my canon.

have you used Legion? does anyone else make canvas inkjet that you know of and can recommend?

I don't print, preferring to source it out. I use a custom lab for Lambda prints for larger sizes and Costco Noritsu prints for sizes 12x18 and under.

As for dealing with the frame shop, I would NEVER give out work on consignment. With today's printing technology, all print sales should come from pre ordering print on demand. What I would do is point them to my web site which lists the sizes and prices I charge. If you don't have a web site, I would consider putting a book of about a dozen 8x10s of your best images and let people order prints. You can get excellent 8x10 prints for $1.50 at Costco or Sams Club.

So for about $20 they can have a dozen images to choose from instead of spending almost that much on a single print that may never sell.

That's a good point, Larry - In fact i was eventually going to ask about people who advertise prints on web sites....it seemed prohibitive to me because they might get so few "hits", and arranging shipping and all the other incidental costs (maintaining a web site) would be a lot of extra work? maybe not. thanks for your advice!

Having a web site is still about marketing and promotion. You need to get the web site in front of the people who may be interested in purchasing your images. It's not the easiest thing to do.

I build web sites for photographers and have turned down jobs from people who expected to make a living from the search engines.