Boundedness for Multilinear Commutators of Marcinkiewicz Integral on Morrey-Herz Spaces with Non Doubling Measures

2013 ◽  
Vol 29 (1) ◽  
pp. 62-71
Author(s):  
J. L. Wu and Q. G. Liu
Keyword(s):  
Marcinkiewicz Integral ◽  
Herz Spaces ◽  
Multilinear Commutators ◽  
Doubling Measures

scholarly journals Endpoint Estimates for Fractional Hardy Operators and Their Commutators on Hardy Spaces

2014 ◽  
Vol 2014 ◽  
pp. 1-9
Author(s):  
Jiang Zhou ◽  
Dinghuai Wang
Keyword(s):  
Hardy Spaces ◽  
Herz Spaces ◽  
Multilinear Commutators ◽  
Hardy Operators

(Hpℝn,Lqℝn)bounds of fractional Hardy operators are obtained. Moreover, the estimates for commutators of fractional Hardy operators on Hardy spaces are worked out. It is also proved that the commutators of fractional Hardy operators are mapped from the Herz-type Hardy spaces into the Herz spaces. The estimates for multilinear commutators of fractional Hardy operators are also discussed.

scholarly journals Multilinear Riesz Potential on Morrey-Herz Spaces with Non-Doubling Measures

2010 ◽  
Vol 2010 ◽  
pp. 1-21 ◽  
Author(s):  
Yanlong Shi ◽  
Xiangxing Tao ◽  
Taotao Zheng
Keyword(s):  
Riesz Potential ◽  
Herz Spaces ◽  
Doubling Measures

scholarly journals Higher-Order Commutators of Parametric Marcinkiewicz Integrals on Herz Spaces with Variable Exponent

2018 ◽  
Vol 2018 ◽  
pp. 1-11
Author(s):  
Hongbin Wang ◽  
Dunyan Yan
Keyword(s):  
Variable Exponent ◽  
Homogeneous Function ◽  
Higher Order ◽  
Marcinkiewicz Integral ◽  
Degree Zero ◽  
Herz Spaces ◽  
Marcinkiewicz Integrals ◽  
Bmo Functions ◽  
Parametric Marcinkiewicz Integral ◽  
Marcinkiewicz Integral Operator

LetΩ∈Ls(Sn-1)fors⩾1be a homogeneous function of degree zero andbbe BMO functions. In this paper, we obtain some boundedness of the parametric Marcinkiewicz integral operatorμΩρand its higher-order commutator[bm,μΩρ]on Herz spaces with variable exponent.

Boundedness of vector-valued Calderón-Zygmund operators on Herz spaces with non-doubling measures

2007 ◽  
Vol 23 (2) ◽  
pp. 138-146
Author(s):  
Baode Li ◽  
Yinsheng Jiang ◽  
Hui Cao
Keyword(s):  
Herz Spaces ◽  
Vector Valued ◽  
Doubling Measures

Boundedness of Commutators of Fractional Marcinkiewicz Integral Under Non-Doubling Measures

2016 ◽  
Vol 45 (3) ◽  
pp. 333-349
Author(s):  
Jiang Zhou ◽  
Suixin He ◽  
Guanghui Lu
Keyword(s):  
Marcinkiewicz Integral ◽  
Doubling Measures

scholarly journals Marcinkiewicz Integral Operators and Commutators on Herz Spaces with Variable Exponents

2014 ◽  
Vol 2014 ◽  
pp. 1-9
Author(s):  
Liwei Wang
Keyword(s):  
Integral Operators ◽  
Higher Order ◽  
Marcinkiewicz Integral ◽  
Variable Exponents ◽  
Herz Spaces

Our aim in this paper is to give the boundedness of the Marcinkiewicz integralμΩon Herz spacesK˙p(·)α(·),q(Rn)andKp(·)α(·),q(Rn), where the two main indices are variable. Meanwhile, we consider the boundedness of the higher order commutatorμΩ,bmgenerated byμΩand a functionbin BMO(Rn)on these spaces.

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