We give a new description of classical Besov spaces in terms of a new modulus of continuity. Then a similar approach is used to introduce Besov classes on an infinite-dimensional space endowed with a Gaussian measure.
Whitney coverings and the tent spaces $T^{1,q}(γ)$ for the Gaussian measure
Weighted Sobolev spaces and embedding theorems
Sharp Poincaré-type inequality for the Gaussian measure on the boundary of convex sets
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