Some estimates of multi-sublinear operators and commutators on mixed λ-central Morrey spaces

• Published in: Annals of functional analysis Vol. 14; no. 2
• Main Authors: Lu, Wenna, Zhou, Jiang
• Format: Journal Article
• Language: English
• Published: Cham Springer International Publishing 01.04.2023
• Subjects: Functional Analysis; Mathematics; Mathematics and Statistics; Original Paper; Multilinear maximal operators; Multilinear fractional integral operators; central; 42B25; Mixed; Multi-sublinear operators; 42B20; central Morrey spaces; spaces; Commutators; Multilinear Calderón–Zygmund operators
• ISSN: 2639-7390; 2008-8752
• DOI: 10.1007/s43034-023-00263-3

In this paper, we establish the boundedness of multi-sublinear operators T m , T α , m , multi-sublinear commutators T m b → , T α , m b → and iterated commutators T m Π b → , T α , m Π b → generated with mixed λ -central BMO functions b → on mixed λ -central Morrey spaces B q → , λ ( R n ) , respectively, where b → = ( b 1 , … , b m ) , q → = ( q 1 , … , q m ) and b i ∈ CBMO q i → , λ i ( R n ) for i = 1 , 2 , … , m . Similar results still hold for multilinear maximal operators T ∗ , their commutators T b → ∗ and T Π b → ∗ . In addition, we also derive the boundedness of multilinear commutators I α , b → ∗ of multilinear fractional maximal operators I α ∗ on mixed λ -central Morrey spaces B q → , λ ( R n ) . As applications, we obtain the boundedness of the multilinear Calderón–Zygmund operators T m , multilinear fractional operators T α , m and their commutators generated with mixed λ -central BMO functions on mixed λ -central Morrey spaces B q → , λ ( R n ) , respectively.