CHARACTERIZATION OF G-LIPSCHITZ SPACES VIA COMMUTATORS OF THE GEGENBAUER MAXIMAL FUNCTION IN G-ORLICZ SPACES

Ibrahimov, Elman; Meskhi, Alexander; CƏFƏROVA, SƏADƏT

doi:10.1007/s10958-026-08263-z

CHARACTERIZATION OF G-LIPSCHITZ SPACES VIA COMMUTATORS OF THE GEGENBAUER MAXIMAL FUNCTION IN G-ORLICZ SPACES

Ibrahimov E. J., Meskhi A., CƏFƏROVA S.

Journal of Mathematical Sciences (United States), 2026 (Scopus)

Publication Type: Article / Article
Publication Date: 2026
Doi Number: 10.1007/s10958-026-08263-z
Journal Name: Journal of Mathematical Sciences (United States)
Journal Indexes: Scopus, MathSciNet, zbMATH
Keywords: Commutator, G-fractional maximal function, G-Lipschitz space, G-Orlicz space
Azerbaijan State University of Economics (UNEC) Affiliated: Yes

Abstract

In this paper, we consider the boundedness of Gegenbauer fractional maximal commutator MGb,α on Gegenbauer-Orlicz (G-Orlicz) spaces when b belongs to the Gegenbauer-Lipschitz (G-Lipschitz) space.