**
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.