Commutators of Hardy-Ces`aro operators on Morrey-Herz spaces with variable exponents

: The aim of this paper is to establish some su ffi cient conditions for the boundedness of commutators of Hardy-Ces`aro operators with symbols in central BMO spaces with variable exponent on some function spaces such as the local central Morrey, Herz, and Morrey-Herz spaces with variable exponents.

[1]  K. H. Dung,et al.  Commutators of Hausdorff operators on Herz-type Hardy spaces , 2022, Advances in Operator Theory.

[2]  K. Ho.  Fractional Geometrical Maximal Functions on Morrey Spaces with Variable Exponents , 2021, Results in Mathematics.

[3]  T. N. Luan,et al.  Weighted Central BMO Type Space Estimates for Commutators of $$p$$-Adic Hardy-Cesàro Operators , 2021, p-Adic Numbers, Ultrametric Analysis and Applications.

[4]  D. Duong,et al.  Multilinear Hausdorff operator on variable exponent Morrey–Herz type spaces , 2020, Integral Transforms and Special Functions.

[5]  D. Duong,et al.  Some Estimates for p-Adic Rough Multilinear Hausdorff Operators and Commutators on Weighted Morrey–Herz Type Spaces , 2018, Russian Journal of Mathematical Physics.

[6]  M. Izuki,et al.  Two Weighted Herz Spaces with Variable Exponents , 2018, Bulletin of the Malaysian Mathematical Sciences Society.

[7]  Liwei Wang,et al.  Higher order commutators of fractional integrals on Morrey type spaces with variable exponents , 2018, Mathematische Nachrichten.

[8]  D. Fan,et al.  Weighted Morrey estimates for Hausdorff operator and its commutator on the Heisenberg group , 2017, Mathematical Inequalities & Applications.

[9]  D. Duong,et al.  Weighted Estimates for Commutators of Multilinear Hausdorff Operators on Variable Exponent Morrey-Herz Type Spaces , 2017, Czechoslovak Mathematical Journal.

[10]  Z. Teng,et al.  Central BMO spaces with variable exponent , 2017, 1708.00285.

[11]  Wenhua Zhao,et al.  Boundedness for fractional Hardy-type operator on variable-exponent Herz–Morrey spaces , 2015, 1511.02269.

[12]  Shan-zhen Lu,et al.  Weighted multilinear Hardy operators and commutators , 2014, 1409.5862.

[13]  H. Hung,et al.  New weighted multilinear operators and commutators of hardy-cesàro type , 2014, 1407.0156.

[14]  Yue-Ping Zhu,et al.  Boundedness of multilinear Calderón-Zygmund singular operators on Morrey-Herz spaces with variable exponents , 2014 .

[15]  N. Chuong,et al.  Bounds of weighted Hardy–Cesàro operators on weighted Lebesgue and BMO spaces , 2014 .

[16]  Alberto Fiorenza,et al.  Variable Lebesgue Spaces: Foundations and Harmonic Analysis , 2013 .

[17]  A. Almeida,et al.  Maximal, potential and singular type operators on Herz spaces with variable exponents , 2012 .

[18]  P. Hästö,et al.  Lebesgue and Sobolev Spaces with Variable Exponents , 2011 .

[19]  M. Izuki.  Fractional integrals on Herz-Morrey spaces with variable exponent , 2010 .

[20]  F. Mamedov,et al.  On a Hardy Type General Weighted Inequality in Spaces Lp(·) , 2010 .

[21]  Loukas Grafakos,et al.  Modern Fourier Analysis , 2008 .

[22]  D. Cruz-Uribe,et al.  The fractional maximal operator and fractional integrals on variable $L^p$ spaces , 2007 .

[23]  L. Diening,et al.  Calderón-Zygmund operators on generalized Lebesgue spaces $L^{p(\cdot)}$ and problems related to fluid dynamics , 2003 .

[24]  J. Xiao.  Lp and BMO Bounds of Weighted Hardy–Littlewood Averages , 2001 .

[25]  Paul Federbush,et al.  Navier and stokes meet the wavelet , 1993 .

[26]  M. Fosset,et al.  MOYENNES ET QUOTIENTS DE TAYLOR DANS BMO , 1980 .

[27]  Bochi Xu.  Bilinear $ \theta $-type Calderón-Zygmund operators and its commutators on generalized variable exponent Morrey spaces , 2022, AIMS Mathematics.

[28]  Hongbin Wang.  Anisotropic Herz Spaces with Variable Exponents , 2015 .

[29]  Yu Zhou,et al.  Commutators of weighted Hardy operators on Herz-type spaces , 2011 .

[30]  M. Lacey,et al.  COMMUTATORS OF WEIGHTED HARDY OPERATORS ON R , 2009 .

[31]  Xu,et al.  Boundedness of rough singular integral operators on the homogeneous Morrey-Herz spaces , 2006 .

[32]  J. Xiao.  BMO Bounds of Weighted Hardy – Littlewood Averages , 2001 .

[33]  Michael E. Taylor,et al.  Analysis on Morrey Spaces and Applications to Navier-Stokes and Other Evolution Equations , 1992 .

[34]  terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, , 2022 .