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 Generalized parabolic Marcinkiewicz integrals associated with polynomial compound curves with rough kernels

2020 ◽  
Vol 53 (1) ◽  
pp. 44-57
Author(s):  
Mohammed Ali ◽  
Qutaibeh Katatbeh
Keyword(s):  
Integral Operators ◽  
Marcinkiewicz Integral ◽  
Rough Kernels ◽  
Marcinkiewicz Integrals ◽  
Natural Extensions ◽  
Parametric Marcinkiewicz Integral ◽  
Weaker Conditions

AbstractIn this article, we study the generalized parabolic parametric Marcinkiewicz integral operators { {\mathcal M} }_{{\Omega },h,{\Phi },\lambda }^{(r)} related to polynomial compound curves. Under some weak conditions on the kernels, we establish appropriate estimates of these operators. By the virtue of the obtained estimates along with an extrapolation argument, we give the boundedness of the aforementioned operators from Triebel-Lizorkin spaces to Lp spaces under weaker conditions on Ω and h. Our results represent significant improvements and natural extensions of what was known previously.

Erratum: "On Marcinkiewicz integral with variable kernels", Vol. 53 (2004), 805-822

2007 ◽  
Vol 56 (2) ◽  
pp. 991-994 ◽  
Author(s):  
Chin-cheng Lin ◽  
Yong Ding ◽  
Ying-Chieh Lin
Keyword(s):  
Marcinkiewicz Integral

Another characterization of the Hardy space with non doubling measures

2006 ◽  
Vol 279 (16) ◽  
pp. 1797-1807 ◽  
Author(s):  
Guoen Hu ◽  
Shuang Liang
Keyword(s):  
Hardy Space ◽  
Doubling Measures

On Marcinkiewicz integral with variable kernels

2004 ◽  
Vol 53 (3) ◽  
pp. 805-822 ◽  
Author(s):  
Yong Ding ◽  
Chin-Cheng Lin ◽  
Shuanglin Shao
Keyword(s):  
Marcinkiewicz Integral

scholarly journals Weighted doubling measures with remotely constant weights

Filomat ◽  
2015 ◽  
Vol 29 (6) ◽  
pp. 1343-1350 ◽  
Author(s):  
Santi Tasena ◽  
Sompong Dhompongsa
Keyword(s):  
Doubling Measures

scholarly journals Operator-valued dyadic harmonic analysis beyond doubling measures

2016 ◽  
Vol 144 (9) ◽  
pp. 3869-3885 ◽  
Author(s):  
José M. Conde-Alonso ◽  
Luis Daniel López-Sánchez
Keyword(s):  
Harmonic Analysis ◽  
Doubling Measures

Atomic hardy-type spaces between H 1 and L 1 on metric spaces with non-doubling measures

2011 ◽  
Vol 27 (12) ◽  
pp. 2445-2468 ◽  
Author(s):  
Li Guang Liu ◽  
Da Chun Yang ◽  
Dong Yong Yang
Keyword(s):  
Metric Spaces ◽  
Hardy Type ◽  
Type Spaces ◽  
Doubling Measures
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