Decompositions of Besov–Morrey spaces and Triebel–Lizorkin–Morrey spaces

• DOI: 10.1007/s00209-007-0150-3
• Publication Date: 2007-05-30T06:45:58Z
• Authors: Yoshihiro Sawano; Hitoshi Tanaka
• Keywords: 0101 mathematics; 01 natural sciences

The aim of this paper is to define the Besov–Morrey spaces and the Triebel– Lizorkin–Morrey spaces and to present a decomposition of functions belonging to these spaces. Our results contain an answer to the conjecture proposed by Mazzucato.