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Maximal and fractional integral operators on generalized Morrey spaces over metric measure spaces.

Authors :
Sihwaningrum, Idha
Gunawan, Hendra
Nakai, Eiichi
Source :
Mathematische Nachrichten. Jun2018, Vol. 291 Issue 8/9, p1400-1417. 18p.
Publication Year :
2018

Abstract

Abstract: We establish the boundedness and weak boundedness of the maximal operator and generalized fractional integral operators on generalized Morrey spaces over metric measure spaces ( X , d , μ ) without the assumption of the growth condition on μ. The results are generalization and improvement of some known results. We also give the vector‐valued boundedness. Moreover we prove the independence of the choice of the parameter in the definition of generalized Morrey spaces by using the geometrically doubling condition in the sense of Hytönen. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
0025584X
Volume :
291
Issue :
8/9
Database :
Academic Search Index
Journal :
Mathematische Nachrichten
Publication Type :
Academic Journal
Accession number :
130104661
Full Text :
https://doi.org/10.1002/mana.201600350