How can a sole proprietorship legally transfer its assets or business to another…?

By "transfer to another jurisdiction" do you mean transfer to another country?

In order to transfer your assets or business to another country, you need to have documents for legal stay in the relevant country, register as an entrepreneur or open a legal entity.

Depending on the country in which you plan to conduct business, the legislation may differ significantly, and therefore, to provide an answer, you need to write to which country you plan to transfer your assets/business and indicate what kind of assets and type of activity they are.