Complex Interpolation of Lizorkin-Triebel-Morrey Spaces on Domains

Abstract

In this article the authors study complex interpolation of Sobolev-Morrey spaces and their generalizations, Lizorkin-Triebel-Morrey spaces. Both scales are considered on bounded domains. Under certain conditions on the parameters the outcome belongs to the scale of the so-called diamond spaces.

Keywords

• morrey spaces
• lizorkin-triebel-morrey spaces
• ± method of interpolation
• calderón’s first and second complex interpolation method
• diamond spaces
• extension operators
• 46b70
• 46e35