Marcinkiewicz Integrals with Non-Doubling Measures

2007 ◽  
Vol 58 (2) ◽  
pp. 205-238 ◽  
Author(s):  
Guoen Hu ◽  
Haibo Lin ◽  
Dachun Yang

2020 ◽  
Vol 53 (1) ◽  
pp. 44-57
Author(s):  
Mohammed Ali ◽  
Qutaibeh Katatbeh

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.



2008 ◽  
Vol 23 (4) ◽  
pp. 420-430 ◽  
Author(s):  
Jie-cheng Chen ◽  
Xiao Yu ◽  
Yan-dan Zhang ◽  
Hui Wang


2006 ◽  
Vol 279 (16) ◽  
pp. 1797-1807 ◽  
Author(s):  
Guoen Hu ◽  
Shuang Liang


2010 ◽  
Vol 62 (2) ◽  
pp. 233-262 ◽  
Author(s):  
Yong Ding ◽  
Qingying Xue ◽  
Kôzô Yabuta




2005 ◽  
Vol 167 (3) ◽  
pp. 227-234 ◽  
Author(s):  
H. Al-Qassem ◽  
A. Al-Salman ◽  
L. C. Cheng ◽  
Y. Pan


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


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


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