Weighted extrapolation in grand Morrey spaces and applications to partial differential equations

2019 ◽  
Vol 30 (1) ◽  
pp. 67-92 ◽  
Author(s):  
Vakhtang Kokilashvili ◽  
Alexander Meskhi ◽  
Maria Alessandra Ragusa
Keyword(s):  
Partial Differential Equations ◽  
Differential Equations ◽  
Morrey Spaces ◽  
Partial Differential ◽  
Weighted Extrapolation

scholarly journals Embedding of vector-valued Morrey spaces and separable differential operators

2019 ◽  
Vol 09 (02) ◽  
pp. 1950013 ◽  
Author(s):  
Maria Alessandra Ragusa ◽  
Veli Shakhmurov
Keyword(s):  
Partial Differential Equations ◽  
Differential Equations ◽  
Differential Operators ◽  
Maximal Regularity ◽  
Elliptic Partial Differential Equations ◽  
Morrey Spaces ◽  
Embedding Theorems ◽  
Partial Differential ◽  
Infinite Systems ◽  
Vector Valued

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.

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