# Reference Request: Korevaar and Schoen Spaces

Let $$(X,d,m)$$ and $$(Y,\rho,\mu)$$ be doubling metric measure spaces. The seminal work of Korevaar and Schoen discussed generalizations of $$L^p$$ spaces for maps from $$X$$ to $$Y$$. Standard results from Analysis show that when $$X=\mathbb{R}^d$$ and $$Y=\mathbb{R}^D$$ then $$C_c(\mathbb{R}^d,\mathbb{R}^D)$$ (continuous functions with compact support) is dense in the Bochner-Lebesgue space $$L^1(\mathbb{R}^d,\mathbb{R}^D)$$.

I'm wondering, if this is true for the $$L^p(X,Y)$$ spaces of of Korevaar and Schoen and more general if there are extensions of $$L^{p(x)}$$ spaces, Musielak-Orlicz spaces, between $$(X,d,m)$$ and $$(Y,\rho,\mu)$$ for which $$C(X,Y)$$ is dense in those spaces.