Pretty much the title. Not much to add here
I am aware that L1-norm is equivalent to Laplacian prior and L2-norm is equivalent to Gaussian prior. The latter was in my stats textbook and it even had a nice proof as well. The former took me some digging to find out.
However I could not find any good info about it about L3-norm, let alone the entire Lp Space. So my question is. Is there a general prior distribution for the Lp-norm. If so what is the formula of it and, if possible, how is it derived?