A. Fiorenza, M. Krbec

On an Optimal Decomposition in Zygmund Spaces

abstract:
An optimal decomposition formula for the norm in the Orlicz space L(log L)^a is given. New proofs of some results involving L(log L)^a spaces are given and the decomposition is applied to apriori estimates for elliptic partial differential equations with the right-hand side in Zygmund classes.