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The Boundedness of Marcinkiewicz Integral Associated with Schrödinger Operator and Its Commutator [PDF]
Dongxiang Chen, Dan Zou
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L P (Rn) boundedness for the Marcinkiewicz integral
Let \(n\geq 2\) and \(S^{n-1}\) be the unit sphere in \(\mathbb{R}^n\) equipped with the normalized Lebesgue measure \(d\sigma\). Suppose that \(\Omega\) is a homogeneous function of degree zero on \(\mathbb{R}^n\) that satisfies \(\Omega\in L(S^{n-1})\) and \(\int_{S^{n-1}}\Omega\,d\sigma= 0\). Define the Marcinkiewicz integral operator \(\mu_\Omega\)
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We give the estimates for the Marcinkiewicz integral with rough variable kernels associated to surfaces. More precisely, we give some other sufficient conditions which are different from the conditions known before to warrant that the -boundedness ...
Yabuta Kôzô, Xue Qingying
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Commutators of Marcinkiewicz integrals on Herz spaces with variable exponent [PDF]
Hongbin Wang
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Boundedness of fractional Marcinkiewicz integral with variable kernel on variable Morrey-Herz spaces
Afif Abdalmonem +2 more
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Parametric Marcinkiewicz Integral and Its Higher-Order Commutators on Variable Exponents Morrey-Herz Spaces [PDF]
Omer Abdalrhman Omer +3 more
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On MV-Algebraic Versions of the Strong Law of Large Numbers. [PDF]
Nowak P, Hryniewicz O.
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Boundedness of a class of rough maximal functions. [PDF]
Ali M, Al-Mohammed O.
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