He was known as doderhultarn which I have not found a translation for but the name became the standard term for this style of carving in Sweden. For many years he carved and sold his work on the local market but in 1909 his work was exhibited in Stockholm and from them on it was highly acclaimed in the art world and commanded good prices. The thing that I like about his work is that like the best impressionist painting it captures in a few bold strokes the essence of the subject. They are not caricatures with exaggerated features but wonderful studies of country people going about their daily lives. There is no need to talk about them though either they do it for you or they don't so here are some pictures.
And here he is carving all the work was done hand held with a knife.
There are plenty of folk doing nice carving in Scandinavia and many in the US using the techniques though I have not come across any that have what Petersson had. Probably the best known is the US carver Harley Refsal. After the intro this video shows him at work and talking about teaching.
Last mention should go to the Trygg family of carvers, Carl Johan Trygg was working at the same time as Petersson, he emigrated to Canada and had three sons all of whom carved selling huge numbers of carvings to tourists. Whilst Carl Johans carvings bare similarity to Petersson's his sons evolved into the more caricature style with big noses. Here is one by his eldest son Carl Olof.