Herz spaces meet Morrey type spaces and complementary Morrey type spaces

Rafeiro, Humberto; Samko, Stefan

http://hdl.handle.net/10400.1/16391

Use this identifier to reference this record.

Name:	Description:	Size:	Format:
Rafeiro-Samko2020_Article_HerzSpacesMeetMorreyTypeSpaces.pdf		410.33 KB	Adobe PDF	Download

Send Feedback

Authors

Rafeiro, Humberto

Samko, Stefan

Abstract(s)

We introduce local and global generalized Herz spaces. As one of the main results we show that Morrey type spaces and complementary Morrey type spaces are included into the scale of these Herz spaces. We also prove the boundedness of a class of sublinear operators in generalized Herz spaces with application to Morrey type spaces and their complementary spaces, based on the mentioned inclusion.