Results 31 to 40 of about 4,440 (181)
A Note on Marcinkiewicz Integrals along Submanifolds of Finite Type
Journal of Function Spaces, 2018 We study the parametric Marcinkiewicz integrals along submanifolds of finite type with rough kernels. The kernels of our operators are allowed to be very rough both on the unit sphere and in the radial direction. Under the rather weakened size conditions
Daiqing Zhang
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Open Mathematics, 2015 In this paper, the boundedness properties for some Toeplitz type operators associated to the Riesz potential and general integral operators from Lebesgue spaces to Orlicz spaces are proved.
Chen Dazhao
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Marcinkiewicz integrals along subvarieties on product domains
International Journal of Mathematics and Mathematical Sciences, 2004 We study the Lp mapping properties of a class of Marcinkiewicz integral operators on product domains with rough kernels supported by subvarieties.
Ahmad Al-Salman
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Boundedness of Generalized Parametric Marcinkiewicz Integrals Associated to Surfaces
Mathematics, 2019 In this article, the boundedness of the generalized parametric Marcinkiewicz integral operators M Ω , ϕ , h , ρ ( r ) is considered. Under the condition that Ω is a function in L q ( S n - 1 ) with q &
Mohammed Ali, Oqlah Al-Refai
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Flag Hardy spaces and Marcinkiewicz multipliers on the Heisenberg group: an expanded version
, 2012 Marcinkiewicz multipliers are L^{p} bounded for ...
Coifman +5 more
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Higher-Order Commutators of Parametric Marcinkiewicz Integrals on Herz Spaces with Variable Exponent
Journal of Function Spaces, 2018 Let Ω∈Ls(Sn-1) for s⩾1 be a homogeneous function of degree zero and b be BMO functions. In this paper, we obtain some boundedness of the parametric Marcinkiewicz integral operator μΩρ and its higher-order commutator [bm,μΩρ] on Herz spaces with variable ...
Hongbin Wang, Dunyan Yan
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Weighted complete continuity for the commutator of Marcinkiewicz integral
, 2018 Let $\Omega$ be homogeneous of degree zero, have mean value zero and integrable on the unit sphere, and $\mathcal{M}_{\Omega}$ be the higher-dimensional Marcinkiewicz integral associated with $\Omega$.
Hu, Guoen
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Marcinkiewicz integral operators along twisted surfaces
Communications on Pure and Applied Analysis, 2022 In this paper, the author defined a class of Marcinkiewicz integral operators \(\mathcal{M}_{\Gamma_{P,Q},\Omega,h}\) on product domains by translates determined by twisted surfaces. More precisely, \(\mathcal{M}_{\Gamma_{P,Q},\Omega,h}\) is defined by \[\mathcal{M}_{\Gamma_{P,Q},\Omega,h}f(x,y)=\bigg(\iint_{\mathbb{R}\times\mathbb{R}}|F_{t,s,\Gamma_ ...
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Boundedness of multilinear operators on Triebel-Lizorkin spaces
International Journal of Mathematics and Mathematical Sciences, 2004 The purpose of this paper is to study the boundedness in the context of Triebel-Lizorkin spaces for some multilinear operators related to certain convolution operators.
Liu Lanzhe
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Parameter θ-Type Marcinkiewicz Integral on Nonhomogeneous Weighted Generalized Morrey Spaces
Journal of Function Spaces, 2020 Let X,d,μ be a nonhomogeneous metric measure space satisfying the upper doubling and geometrically doubling conditions in the sense of Hytönen. In this setting, the author proves that parameter θ-type Marcinkiewicz integral Mθρ is bounded on the weighted
Guanghui Lu
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