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Boundedness of Singular Integral Operators on Weak Herz Type Spaces with Variable Exponent [PDF]
Annals of Functional Analysis, 2020 In this paper, the authors define the weak Herz spaces and the weak Herz-type Hardy spaces with variable exponent. As applications, the authors establish the boundedness for a class of singular integral operators including some critical cases.
Hongbin Wang, Zongguang Liu
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Multilinear rough singular integral operators [PDF]
Journal of the London Mathematical Society, 2022 We study m$m$ ‐linear homogeneous rough singular integral operators LΩ$\mathcal {L}_{\Omega }$ associated with integrable functions Ω$\Omega$ on Smn−1$\mathbb {S}^{mn-1}$ with mean value zero. We prove boundedness for LΩ$\mathcal {L}_{\Omega }$ from Lp1×⋯
L. Grafakos +3 more
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Singular integral operators on tent spaces [PDF]
, 2012 We extend the recent results concerning boundedness of the maximal regularity operator on tent spaces. This leads us to develop a singular integral operator theory on tent spaces. Such operators have operator-valued kernels.
Auscher, Pascal +3 more
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Variable Anisotropic Singular Integral Operators
Constructive Approximation, 2020 We introduce the class of variable anisotropic singular integral operators associated to a continuous multi-level ellipsoid cover $$\Theta $$ Θ of $$\mathbb {R}^n$$ R n introduced by Dahmen et al. (Constr Approx 31:149–194, 2010). This is an extension of
Marcin Bownik, Baode Li, Jinxia Li
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Singular stochastic integral operators [PDF]
Analysis & PDE, 2019 In this paper we introduce Calder\'on-Zygmund theory for singular stochastic integrals with operator-valued kernel. In particular, we prove $L^p$-extrapolation results under a H\"ormander condition on the kernel.
E. Lorist, M. Veraar
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Wavelet representation of singular integral operators
Mathematische Annalen, 2020 This article develops a novel approach to the representation of singular integral operators of Calderón–Zygmund type in terms of continuous model operators, in both the classical and the bi-parametric setting.
Francesco Di Plinio +2 more
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AIMS Mathematics, 2021 The boundedness of singular and fractional integral operator on Lebesgue and Hardy spaces have been well studied. The theory of Herz space and Herz type Hardy space, as a local version of Lebesgue and Hardy space, have been developed. The main purpose of
Dazhao Chen
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Karpatsʹkì Matematičnì Publìkacìï, 2023 We study the maximal operator $M_{\gamma}$ and the singular integral operator $A_{\gamma}$, associated with the generalized shift operator. The generalized shift operators are associated with the Laplace-Bessel differential operator.
J.J. Hasanov, I. Ekincioglu, C. Keskin
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Boundedness of p-Adic Singular Integrals and Multilinear Commutator on Morrey-Herz Spaces
Journal of Function Spaces, 2023 In this paper, we establish the boundedness of classical p-adic singular integrals on Morrey-Herz spaces, as well as the boundedness of multilinear commutator generated by p-adic singular integral operators and Lipschitz functions or by p-adic singular ...
Yanlong Shi, Li Li, Zhonghua Shen
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Multilinear strongly singular integral operators on non-homogeneous metric measure spaces
Journal of Inequalities and Applications, 2022 Let ( X , d , μ ) $(X,d,\mu )$ be a non-homogeneous metric measure space satisfying the geometrically and upper doubling measure conditions. In this paper, the boundedness in Lebesgue spaces for multilinear strongly singular integral operators on non ...
Hailian Wang, Rulong Xie
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