Marcinkiewicz Integrals with Non-Doubling Measures

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

Hypersingular parameterized Marcinkiewicz integrals with variable kernels on Sobolev and Hardy-Sobolev spaces

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

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

scholarly journals Boundedness of the Marcinkiewicz integrals with rough kernel associated to surfaces

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

scholarly journals MORREY SPACES WITH NON-DOUBLING MEASURES II

2012 ◽  
Vol 14 (2) ◽  
Author(s):  
Yoshihiro Sawano
Keyword(s):  
Morrey Spaces ◽  
Doubling Measures

scholarly journals Marcinkiewicz integrals on product spaces

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

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
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