I've been reading about Besov spaces (my reference thus far has been "Mathematical foundations of infinite-dimensional statistical models" (Nickl & Gine), and I've been struggling a bit with the interpretation of the parameters given when describing a Besov space. I normally see the spaces written as $B_{pq}^s$. I understand that the $s$ represents something akin to Holder continuity / level of differentiability, but getting a concrete hold on what each of $p,q,s$ ($q$ in particular) has been something of a tricky task.
In particular, I'm looking for a description of what each of $p,q,s$ tells us about the space in question. I can look up inclusions/equivalences to e.g. Holder/Sobolev spaces on my own. I'm interested in the slightly more qualitative side of matters.
Edit: Thanks to Ian's helpful comment, I feel relatively at peace with my understanding of $s$ and $p$ - right now, my focus is on getting a qualitative understanding of how $q$ affects the type of functions lying in a given Besov space. I current have it in my head as some control over the tail decay of the wavelet coefficients, but this is still quite unsatisfying; it doesn't tell me as much about the function as I'd like.