Open AccessEmbedding of vector-valued Morrey spaces and separable differential operators
Author(s) -
Maria Alessandra Ragusa,
Veli Shakhmurov
Publication year - 2019
Publication title -
bulletin of mathematical sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.407
H-Index - 21
eISSN - 1664-3607
pISSN - 1664-3615
DOI - 10.1142/s1664360719500139
Subject(s) - embedding , mathematics , separable space , pure mathematics , mathematical analysis , operator (biology) , differential (mechanical device) , computer science , physics , biochemistry , chemistry , repressor , artificial intelligence , transcription factor , gene , thermodynamics
The paper is the first part of a program devoted to the study of the behavior of operator-valued multipliers in Morrey spaces. Embedding theorems and uniform separability properties involving [Formula: see text]-valued Morrey spaces are proved. As a consequence, maximal regularity for solutions of infinite systems of anisotropic elliptic partial differential equations are established.