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The characterization of radial subspaces of Besov and Lizorkin–Triebel spaces by differences

The characterization of radial subspaces of Besov and Lizorkin–Triebel spaces by differences

We continue our earlier investigations of radial subspaces of Besov and Lizorkin–Triebel spaces on $\mathbb R^d$. This time we study characterizations of these subspaces by differences.