Characterizations of Lipschitz functions via the commutators of maximal function in Orlicz spaces on stratified Lie groups
     
Yazarlar (1)
Prof. Dr. Vagıf GULIYEV Baku State University, Azerbaycan
Makale Türü Açık Erişim Özgün Makale (SSCI, AHCI, SCI, SCI-Exp dergilerinde yayınlanan tam makale)
Dergi Adı Mathematical Inequalities and Applications (Q2)
Dergi ISSN 1331-4343 Wos Dergi Scopus Dergi
Dergi Tarandığı Indeksler SCI-Expanded
Makale Dili İngilizce Basım Tarihi 01-2023
Cilt / Sayı / Sayfa 26 / 2 / 447–464 DOI 10.7153/mia-2023-26-29
Makale Linki http://dx.doi.org/10.7153/mia-2023-26-29
Özet
We give necessary and sufficient conditions for the boundedness of the maximal commutators Mb, the commutators of the maximal operator [b,M] and the commutators of the sharp maximal operator [b,M#] in Orlicz spaces LΦ((equation presented)) on any stratified Lie group G when b belongs to Lipschitz spaces (equation presented)β((equation presented)). We obtain some new characterizations for certain subclasses of Lipschitz spaces (equation presented)β((equation presented)).
Anahtar Kelimeler
Stratified group | Orlicz space | maximal function | sharp maximal function | commutator | Lipschitz function.