On generalized Besov and Triebel-Lizorkin spaces of regular distributions

Published 2 Oct 2012 in math.FA | (1210.0795v1)

Abstract: We establish conditions on the parameters which are both necessary and sufficient in order that Besov and Triebel-Lizorkin spaces of generalized smoothness contain only regular distributions. We also connect this with the possibility of embedding such spaces in some particular Lebesgue spaces.

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