Weighted multilinear Hardy operators and commutators
-
Zun Wei Fu
,
Shu Li Gong
Abstract
In this paper, we introduce a type of weighted multilinear Hardy operators and obtain their sharp bounds on the product of Lebesgue spaces and central Morrey spaces. In addition, we obtain sufficient and necessary conditions of the weight functions so that the commutators of the weighted multilinear Hardy operators (with symbols in central BMO space) are bounded on the product of central Morrey spaces. These results are further used to prove sharp estimates of some inequalities due to Riemann–Liouville and Weyl.
Funding source: NSF of China
Award Identifier / Grant number: 11271175
Funding source: NSF of China
Award Identifier / Grant number: 10901076
Funding source: NSF of China
Award Identifier / Grant number: 10931001
Funding source: NSF of China
Award Identifier / Grant number: 11101038
Funding source: Linyi University
Award Identifier / Grant number: AMEP
Funding source: Key Laboratory of Mathematics and Complex System (Beijing Normal University), Ministry of Education, China
The authors cordially thank the referees for their careful reading and helpful comments.
© 2015 by De Gruyter
Artikel in diesem Heft
- Frontmatter
- Subgroups which admit extensions of homomorphisms
- On the Dedekind completion of function rings
- Semiperfect and coreflexive coalgebras
- Approximations to the Karcher mean on Hadamard spaces via geometric power means
- Separable convolution-elliptic operators with parameters
- Charged spaces
- Autotopies and quasigroup identities: New aspects of non-associative division algebras
- Dualizing complexes and homomorphisms vanishing in Koszul homology
- Comparison tests for the asymptotic behaviour of higher-order dynamic equations of neutral type
- Hardy spaces associated with a pair of commuting operators
- Weighted multilinear Hardy operators and commutators
- A characterisation of almost simple groups with socle 2E6(2) or M(22)
- The Σ1-invariant for Artin groups of circuit rank 1
- The average signature of graph links
- Peetre's theorem in the locally convex setting
- Small covers, infra-solvmanifolds and curvature
- Farrell–Jones spheres and inertia groups of complex projective spaces
- Character sums over unions of intervals
- Cones of certain isolated left orderings and chain domains
- On Wolff's L5/2-Kakeya maximal inequality in ℝ3
- Fractional type Marcinkiewicz integral operators on function spaces
- Lévy–Khintchine type representation of Dirichlet generators and semi-Dirichlet forms
- Homogeneous (α,β)-metrics of Douglas type
Artikel in diesem Heft
- Frontmatter
- Subgroups which admit extensions of homomorphisms
- On the Dedekind completion of function rings
- Semiperfect and coreflexive coalgebras
- Approximations to the Karcher mean on Hadamard spaces via geometric power means
- Separable convolution-elliptic operators with parameters
- Charged spaces
- Autotopies and quasigroup identities: New aspects of non-associative division algebras
- Dualizing complexes and homomorphisms vanishing in Koszul homology
- Comparison tests for the asymptotic behaviour of higher-order dynamic equations of neutral type
- Hardy spaces associated with a pair of commuting operators
- Weighted multilinear Hardy operators and commutators
- A characterisation of almost simple groups with socle 2E6(2) or M(22)
- The Σ1-invariant for Artin groups of circuit rank 1
- The average signature of graph links
- Peetre's theorem in the locally convex setting
- Small covers, infra-solvmanifolds and curvature
- Farrell–Jones spheres and inertia groups of complex projective spaces
- Character sums over unions of intervals
- Cones of certain isolated left orderings and chain domains
- On Wolff's L5/2-Kakeya maximal inequality in ℝ3
- Fractional type Marcinkiewicz integral operators on function spaces
- Lévy–Khintchine type representation of Dirichlet generators and semi-Dirichlet forms
- Homogeneous (α,β)-metrics of Douglas type
