Characterizations of the mixed central Campanato spaces via the commutator operators of Hardy type

The purpose of this paper is to establish some characterizations of mixed central Campanato space Cp→,λ(Rn), via the boundedness of the commutator operators of Hardy type. Unlike the case λ⩾0, there are some technical difficulties caused by λ<0 to be overcome. In addition, an extra assumption cal...

Full description

Saved in:
Bibliographic Details
Published inBulletin des sciences mathématiques Vol. 193; p. 103446
Main Authors Lu, Wenna, Zhou, Jiang
Format Journal Article
LanguageEnglish
Published Elsevier Masson SAS 01.07.2024
Subjects
Characterization
Commutator
Hardy operator
Mixed central Campanato space
Mixed λ-central Morrey space
Hardy operator
Characterization
42B35
Commutator
42B25
42B20
Mixed central Campanato space
Mixed λ-central Morrey space
Online AccessGet full text

Cover

More Information
Summary:The purpose of this paper is to establish some characterizations of mixed central Campanato space Cp→,λ(Rn), via the boundedness of the commutator operators of Hardy type. Unlike the case λ⩾0, there are some technical difficulties caused by λ<0 to be overcome. In addition, an extra assumption called as the mixed version of the reverse Hölder class be required in the proof of the converse characterization. Moreover, some further interesting conclusions for the Hardy type operators on mixed λ-central Morrey space Bp→,λ(Rn) are also derived.
ISSN:0007-4497
1952-4773
DOI:10.1016/j.bulsci.2024.103446