The authors establish A-central BMO estimates for commutators of maximal multilinear Calderon-Zygmund operators TIIb and multilinear fractional operators Ia,b on central Morrey spaces respectively. Similar results sti...The authors establish A-central BMO estimates for commutators of maximal multilinear Calderon-Zygmund operators TIIb and multilinear fractional operators Ia,b on central Morrey spaces respectively. Similar results still hold for Tb, Tb and Ia,b .展开更多
In order to study the boundedness of some operators in general function spaces which include Lorentz spaces and Orlicz spaces as special examples,Lorentz introduced a new space called rearrangement invariant Banach fu...In order to study the boundedness of some operators in general function spaces which include Lorentz spaces and Orlicz spaces as special examples,Lorentz introduced a new space called rearrangement invariant Banach function spaces,denoted by RIBFS.It is shown in this paper that variation operators of singular integrals and their commutators are bounded on RIBFS whenever the kernels satisfy the L~r-H?rmander conditions.Moreover,we obtain some quantitative weighted bounds in the quasi-Banach spaces and modular inequalities for above variation operators and their commutators.展开更多
The main result of this paper is a bi-parameter Tb theorem for Littlewood-Paley g-function, where b is a tensor product of two pseudo-accretive function. Instead of the doubling measure, we work with a product measure...The main result of this paper is a bi-parameter Tb theorem for Littlewood-Paley g-function, where b is a tensor product of two pseudo-accretive function. Instead of the doubling measure, we work with a product measure μ = μn × μm, where the measures μn and μm are only assumed to be upper doubling. The main techniques of the proof include a bi-parameter b-adapted Haar function decomposition and an averaging identity over good double Whitney regions. Moreover, the non-homogeneous analysis and probabilistic methods are used again.展开更多
基金supported by Mathematical Tianyuan Foundation of China(Grant No.11226102)Doctoral Foundation of He'nan Polytechnic University(Grant No.B2012-055)+2 种基金supported by National Natural Science Foundation of China(Grant No.10931001)Beijing Natural Science Foundation(Grant No.1102023)Program for Changjiang Scholars and Innovative Research Team in University
文摘The authors establish A-central BMO estimates for commutators of maximal multilinear Calderon-Zygmund operators TIIb and multilinear fractional operators Ia,b on central Morrey spaces respectively. Similar results still hold for Tb, Tb and Ia,b .
基金supported partly by the National Key R&D Program of China (Grant No.2020YFA0712900)NNSF of China (Grant Nos. 11871101, 12271041)。
文摘In order to study the boundedness of some operators in general function spaces which include Lorentz spaces and Orlicz spaces as special examples,Lorentz introduced a new space called rearrangement invariant Banach function spaces,denoted by RIBFS.It is shown in this paper that variation operators of singular integrals and their commutators are bounded on RIBFS whenever the kernels satisfy the L~r-H?rmander conditions.Moreover,we obtain some quantitative weighted bounds in the quasi-Banach spaces and modular inequalities for above variation operators and their commutators.
文摘The main result of this paper is a bi-parameter Tb theorem for Littlewood-Paley g-function, where b is a tensor product of two pseudo-accretive function. Instead of the doubling measure, we work with a product measure μ = μn × μm, where the measures μn and μm are only assumed to be upper doubling. The main techniques of the proof include a bi-parameter b-adapted Haar function decomposition and an averaging identity over good double Whitney regions. Moreover, the non-homogeneous analysis and probabilistic methods are used again.
