Tent space approach of Morrey spaces and their application to duality and complex interpolation (Q6099091)

Summary: The aim in this paper is to establish a new duality property of Morrey spaces and to discover the complex interpolation space between Morrey spaces and Lebesgue spaces. For that purpose, a new space \(N_{p , q}^s\left( \mathbb{R}^n\right)\) is introduced by using methods of tent spaces. The space generalizes Morrey spaces and Lebesgue spaces. Furthermore, this scale of spaces is amenable to the complex interpolation space.