Since I'm Dutch/Canadian, living in Holland/the Netherlands and into axes I can probably answer it for you. Normally I only read and don't post, but since most of you probably won't speak Dutch or German, you'll probably won't get very far.
Frisians or "Friesen" as we like to call them are originally not from Holland/the Netherlands but are actually Scandinavian of origin. They settled there from Norway/Sweden/Denmark in the period of 800 to 1000. So your best bet would be a "viking" axe. I have 2 of them in my collection which I use, but you can buy a car with the money they're worth. And finding them is difficult to say the least.
The other type of axe which isn't typical Frisian per se, but was used there extensively is an type of axe that was used to chop Wood and Ice. I wouldn't say it's the prettiest axe I've ever seen, since I find them horrible, but you wanted the answer: The axe you're looking for has no poll, usually a round or D-shaped eye, and the weirdest thing about the head is that it has the axehead above the eye for the most part. The handle would be straight on one of those....
I don't have a picture right now, but it's an upside down version of my own carpenters axe, but without the poll, the nail puller and a slightly different eye without the cheeks and usually a bit bigger then the one in the picture below:
Since the Dutch are mostly a people that throw old stuff away, you don't see them very often for sale, but they are usually very cheap, since most are poorly made. They used them in the period of 1700-1900. After that, 1900 and beyond, they would mostly use German style axes. It's kind of like a hudson bay axe, but with a slightly longer eye. Here's one. The cheapest ones I can find brand new cost about €4,-- and weigh about 600 grams , which is about 1,5 pounds. Thats almost the same one as this one below.