Characterizations for the fractional maximal commutator operator in generalized Morrey spaces on Carnot group. Issue 6 (3rd June 2019)

• Record Type: Journal Article
• Authors: Guliyev, Vagif; Ekincioglu, Ismail; Kaya, Esra; Safarov, Zaman
• Is Part Of: Integral transforms and special functions. Volume 30:Issue 6(2019)
• Page Start: 453
• Page End: 470
• Publication Date: 2019-06-03
• Subjects: Carnot group -- fractional maximal operator -- generalized Morrey space -- commutator -- BMO; 42B25 -- 42B35 -- 43A15 -- 43A80; Integral transforms -- Periodicals; Transcendental functions -- Periodicals; Transformations (Mathematics) -- Periodicals; Calculus, Integral -- Periodicals; 515
• DOI: 10.1080/10652469.2019.1581777
• Languages: English
• ISSNs: 1065-2469

Abstract

ABSTRACT: In this paper, we will obtain the new results of the strong and weak Spanne-Guliyev, Adams-Guliyev and Adams-Gunawan type boundedness characterization of the fractional maximal operatorM α in generalized Morrey spaces, respectively. Moreover, we will give a characterization for the boundedness of the fractional maximal commutator operatorM b, α in generalized Morrey spaces.