Results 21 to 30 of about 4,440 (181)
Integral Operators of Marcinkiewicz Type
Journal of Integral Equations and Applications, 2002 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 \(\Omega\in L(\log^+L)(S^{n-1})\) and \[ \int_{S^{n-1}} \Omega(x)\,d\sigma= 0.
Al-Salman, Ahmad, Al-Qassem, Hussain
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Parabolic Marcinkiewicz integrals on product spaces and extrapolation
Open Mathematics, 2016 In this paper, we study the the parabolic Marcinkiewicz integral MΩ,hρ1,ρ2${\cal M}_{\Omega, h}^{{\rho _{1,}}{\rho _2}}$ on product domains Rn × Rm (n, m ≥ 2). Lp estimates of such operators are obtained under weak conditions on the kernels.
Ali Mohammed, Al-Dolat Mohammed
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Open Mathematics, 2021 In this paper, we establish some sharp maximal function estimates for certain Toeplitz-type operators associated with some fractional integral operators with general kernel.
Chen Dazhao, Huang Hui
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One result on boundedness of the Hilbert transform in Marcinkiewics spaces
Вестник КазНУ. Серия математика, механика, информатика, 2022 In mathematics and in signal theory, the Hilbert transform is an important linear operator that takes a real-valued function and produces another real-valued function.
Nurken Tursynbayuly Bekbayev +1 more
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Almost everywhere convergence of Fej\'er means of two-dimensional triangular Walsh-Fourier series [PDF]
, 2017 In 1987 Harris proved (Proc. Amer. Math.
Gát, György
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Marcinkiewicz积分在加权Campanato空间上的有界性(Marcinkiewicz integrals on weighted Campanato spaces)
Zhejiang Daxue xuebao. Lixue ban, 2008 The Marcinkiewicz integrals are class of important operators in analysis and are widely studied. The boundedness of the Marcinkiewicz integral operator on certain weighted Campanato spaces is estiblished.
SIZeng-yan(司增艳) +1 more
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The Boundedness of Marcinkiewicz Integral Associated with Schrödinger Operator and Its Commutator
Journal of Function Spaces, 2014 The authors prove that Marcinkiewicz integral operator is not only are bounded on Lp, for ...
Dongxiang Chen, Dan Zou
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Morrey Spaces for Nonhomogeneous Metric Measure Spaces
Abstract and Applied Analysis, 2013 The authors give a definition of Morrey spaces for nonhomogeneous metric measure spaces and investigate the boundedness of some classical operators including maximal operator, fractional integral operator, and Marcinkiewicz integral operators.
Cao Yonghui, Zhou Jiang
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On an integral of Marcinkiewicz [PDF]
Transactions of the American Mathematical Society, 1959 satisfied the inequality Ap|f|lp-H / Ap ? ApIIflIp (the left side requiring, of course, that f07fdO=O). This was affirmatively answered by Zygmund in [7], to which paper the reader is referred for an account of the origin of this problem and its relation to other problems in the theory of Fourier series and in the theory of functions.
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On rough generalized parametric Marcinkiewicz integrals [PDF]
Journal of Mathematical Inequalities, 2017 Summary: We obtain certain sharp \(L^p\) bounds for the generalized parametric Marcinkiewicz integrals \(\mathcal{M}_{\Omega,h,\rho}^{(\lambda)}\). The singular kernels are allowed to be rough on the unit sphere as well as in the radial direction. By the virtue of these estimates along with an extrapolation argument we obtain some new and improved ...
Al-Qassem, H., Cheng, L., Pan, Y.
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