De. Edmunds et al., NORMS OF EMBEDDINGS OF LOGARITHMIC BESSEL POTENTIAL SPACES, Proceedings of the American Mathematical Society, 126(8), 1998, pp. 2417-2425
Let Omega be a subset of R-n with finite volume, let nu > 0 and let Ph
i be a Young function with Phi(t) = exp(exp t(nu)) for large t. We sho
w that the norm on the Orlicz space L-Phi(Omega) is equivalent to [GRA
PHICS] We also obtain estimates of the norms of the embeddings of cert
ain logarithmic Bessel potential spaces in L-q(Omega) which are sharp
in their dependences on q provided that q is large enough.