Notation for vector space of polynomials of bounded degree

Question

Is there standard notation for the vector space of polynomials in $n$ variables with coefficients in a field $F$ and with degree at most $D$?

Without bounding the degree, it is $F[x_1, \ldots, x_n]$.

Answer 1

John McGee's comment is good. Another way to do this is to define a set $S = \{f(x_1, x_2, ..., x_n) \in F[x_1, x_2, ..., x_n]: \deg(f) \leq D\}$.

Or invent your own notation so long as you have clearly defined it - this happens all the time.