Logarithmic Littlewood-Paley Decomposition and Applications to Orlicz Spaces
Logarithmic Littlewood-Paley Decomposition and Applications to Orlicz Spaces
This paper is devoted to the construction of a logarithmic Littlewood-Paley decomposition. The approach we adopted to carry out this construction is based on the notion introduced in (Bahouri, Trends Math pp 1–15 (2013), [3]) of being $$\log $$ -oscillating with respect to a scale. The relevance of this theory …