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BOUNDEDNESS OF MULTIPLE MARCINKIEWICZ INTEGRAL OPERATORS WITH ROUGH KERNELS
Huoxiong Wu
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A new weak type estimate for Marcinkiewicz integrals on weighted Hardy spaces
Hua Wang
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Multiparameter Marcinkiewicz Integrals and a Resonance Theorem
By the proposal from an author, we replaced it with an author version 2017/05/11 ...
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Commutators of parametric Marcinkiewicz integrals on generalized Orlicz-Morrey spaces
Fatih Deringöz
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MARCINKIEWICZ INTEGRALS WITH ROUGH KERNELS ON PRODUCT SPACES
Yong Ding, Dashan Fan, Yobiao Pan
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A Note on a Marcinkiewicz Integral Operator
Mathematische Nachrichten, 2001Let \(\Omega\) be a homogeneous function of degree \(0\) satisfying \[ \int_{S^{n-1}}\Omega(x') d\sigma(x')=0. \] Define \[ F_{P,t}(x)=\int_{|y|1\) satisfies condition (\(\ast\)) for all \(\alpha>0\).
Chen, Jiecheng, Fan, Dashan, Pan, Yibiao
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Spectral Integration of Marcinkiewicz Multipliers
Canadian Journal of Mathematics, 1993AbstractLet X be a closed subspace of LP(μ), where μ is an arbitrary measure and 1 < p < ∞. By extending the scope of spectral integration, we show that every invertible power-bounded linear mapping of X into X has a functional calculus implemented by the algebra of complex-valued functions on the unit circle satisfying the hypotheses of the ...
Asmar, Nakhlé +2 more
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Marcinkiewicz integral on hardy spaces
Integral Equations and Operator Theory, 2002The authors prove that the Marcinkiewicz integrals with kernel satisfying \(L^1\)-Dini condition are bounded from the Hardy space \(H^1(\mathbb R^n)\) into \(L^1(\mathbb R^n)\), and that if the kernel satisfies a stronger Dini-type condition, then the corresponding Marcinkiewicz integrals are also bounded from \(H^{1,\infty}(\mathbb R^n)\) into \(L^{1,\
Ding, Yong, Lu, Shanzhen, Xue, Qingying
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