NORMS OF EMBEDDINGS OF LOGARITHMIC BESSEL POTENTIAL SPACES

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.