Results 1 to 10 of about 4,923 (156)
Marcinkiewicz Integrals on Weighted Weak Hardy Spaces [PDF]
Journal of Function Spaces, 2014 We prove that, under the condition Ω∈Lipα, Marcinkiewicz integral μΩ is bounded from weighted weak Hardy space WHwpRn to weighted weak Lebesgue space WLwpRn for maxn/n+1/2,n/n ...
Yue Hu, Yueshan Wang
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A note on Marcinkiewicz integrals supported by submanifolds [PDF]
Journal of Inequalities and Applications, 2018 In the present paper, we establish the boundedness and continuity of the parametric Marcinkiewicz integrals with rough kernels associated to polynomial mapping P $\mathcal{P}$ as well as the corresponding compound submanifolds, which is defined by Mh,Ω ...
Feng Liu
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Walsh-Marcinkiewicz means and Hardy spaces
Open Mathematics, 2014 Abstract The main aim of this paper is to investigate the Walsh-Marcinkiewicz means on the Hardy space H p, when 0 < p < 2/3. We define a weighted maximal operator of Walsh-Marcinkiewicz means and establish some of its properties.
Nagy Károly, Tephnadze George
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Boundedness of Marcinkiewicz integrals with rough kernels on Musielak-Orlicz Hardy spaces [PDF]
Journal of Inequalities and Applications, 2017 Let φ : R n × [ 0 , ∞ ) → [ 0 , ∞ ) $\varphi:\mathbb{R}^{n}\times[0, \infty) \to[0, \infty)$ satisfy that φ ( x , ⋅ ) $\varphi(x, \cdot)$ , for any given x ∈ R n $x\in\mathbb{R}^{n}$ , is an Orlicz function and φ ( ⋅ , t ) $\varphi(\cdot, t)$ is a ...
Bo Li, Minfeng Liao, Baode Li
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Marcinkiewicz sampling theorem for Orlicz spaces
Positivity, 2022 In the article we generalize the Marcinkiewicz sampling theorem in the context of Orlicz spaces. We establish conditions under which sampling theorem holds in terms of restricted submultiplicativity and supermultiplicativity of an $N$-function $φ$, boundedness of the Hilbert transform and Matuszewska-Orlicz indices.
Aleksander Pawlewicz +1 more
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Journal of Inequalities and Applications, 2020 In this paper, we obtain the existence and boundedness of Marcinkiewicz integrals with homogeneous kernels on central Campanato spaces. Moreover, the existence and boundedness of multilinear Marcinkiewicz integrals on central Campanato spaces are also ...
Jiao Ma, Mingquan Wei, Dunyan Yan
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On boundedness of the Hilbert transform on Marcinkiewicz spaces
Қарағанды университетінің хабаршысы. Математика сериясы, 2020 We study boundedness properties of the classical (singular) Hilbert transform (Hf)(t) = p.v.1/π ∫R f(s)/(t − s) ds, acting on Marcinkiewicz spaces. The Hilbert transform is a linear operator which arises from the study of boundary values of the real and
N.T. Bekbayev, K.S. Tulenov
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Boundedness on Hardy-Sobolev Spaces for Hypersingular Marcinkiewicz Integrals with Variable Kernels
Journal of Inequalities and Applications, 2008 The existence and boundedness on Sobolev spaces and Hardy-Sobolev spaces for the hypersingular Marcinkiewicz integrals with variable kernels are derived.
Songyan Zhang, Xiao Yu, Xiangxing Tao
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The Grothendieck property in Marcinkiewicz spaces [PDF]
Indagationes Mathematicae, 2020 The main pupose of this paper is to fully characterize continuous concave functions $ $ such that the corresponding Marcinkiewicz Banach function space $M_{ }$ is a Grothendieck space.
de Pagter, B., Sukochev, F. A.
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Geometry of the Marcinkiewicz Sequence Space
The Journal of Geometric Analysis, 2020 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Boyd, Christopher +1 more
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