In this paper, the λ-central BMO estimates for higher order commuta-tors of Hardy operators on central Morrey space Lq,λ(Rn) are established. In the meanwhile, the corresponding corollary for central BMO estimates...In this paper, the λ-central BMO estimates for higher order commuta-tors of Hardy operators on central Morrey space Lq,λ(Rn) are established. In the meanwhile, the corresponding corollary for central BMO estimates is also obtained.展开更多
The authors establish λ-central BMO estimates for commutators of singular integral operators with rough kernels on central Morrey spaces. Moreover, the boundedness of a class of multisublinear operators on the produc...The authors establish λ-central BMO estimates for commutators of singular integral operators with rough kernels on central Morrey spaces. Moreover, the boundedness of a class of multisublinear operators on the product of central Morrey spaces is discussed. As its special cases, the corresponding results of multilinear Calderon-Zygmund operators and multilinear fractional integral operators can be deduced, resDectivelv.展开更多
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 this paper, the author states three classes of endpoint estimates for Calderon-Zygmund type operators. As their special cases, the corresponding results of classical Calderon-Zygmund operators can be deduced respec...In this paper, the author states three classes of endpoint estimates for Calderon-Zygmund type operators. As their special cases, the corresponding results of classical Calderon-Zygmund operators can be deduced respectively.展开更多
基金The Pre-research Project(SY201224) of Provincial Key Innovationthe Scientific and Technical Research Project(12531720) of the Education Department of Heilongjiang Province+1 种基金the NSF(A200913) of Heilongjiang Provincethe NSF(11041004,11161042,11071250) of China
文摘In this paper, the λ-central BMO estimates for higher order commuta-tors of Hardy operators on central Morrey space Lq,λ(Rn) are established. In the meanwhile, the corresponding corollary for central BMO estimates is also obtained.
基金National Natural Science Foundation of China (10571014)the Doctoral Programme Foundation of Institution of Higher Education of China (20040027001)
文摘The authors establish λ-central BMO estimates for commutators of singular integral operators with rough kernels on central Morrey spaces. Moreover, the boundedness of a class of multisublinear operators on the product of central Morrey spaces is discussed. As its special cases, the corresponding results of multilinear Calderon-Zygmund operators and multilinear fractional integral operators can be deduced, resDectivelv.
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 .
文摘In this paper, the author states three classes of endpoint estimates for Calderon-Zygmund type operators. As their special cases, the corresponding results of classical Calderon-Zygmund operators can be deduced respectively.