Results 11 to 20 of about 7,644 (191)
Boundedness of Generalized Parametric Marcinkiewicz Integrals Associated to Surfaces
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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Marcinkiewicz-Zygmund inequalities for polynomials in Fock space
AbstractWe study the relation between Marcinkiewicz-Zygmund families for polynomials in a weighted$$L^2$$L2-space and sampling theorems for entire functions in the Fock space and the dual relation between uniform interpolating families for polynomials and interpolating sequences.
Gröchenig, Karlheinz +1 more
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Marcinkiewicz Multipliers and Lipschitz Spaces on Heisenberg Groups [PDF]
AbstractThe Marcinkiewicz multipliers are $L^{p}$ bounded for $1<p<\infty$ on the Heisenberg group $\mathbb{H}^{n}\simeq \mathbb{C}^{n}\times \mathbb{R}$ (Müller, Ricci, and Stein).
Han, Yanchang +3 more
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Navigating infection by pathogenic spirochetes: The host-bacteria interface at the atomic level. [PDF]
Abstract Pathogenic spirochetes bind and interact with various host structures and molecules throughout the course of infection. By utilizing their outer surface molecules, spirochetes can effectively modulate their dissemination, interact with immune system regulators, and select specific destination niches within the host.
Hejduk L +7 more
europepmc +2 more sources
Geometry of the Marcinkiewicz Sequence Space
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Boyd, Christopher +1 more
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Marcinkiewicz integrals on product spaces [PDF]
Let \(d \geq 2\) (\(d = n\) or \(d=m\)) and \(S^{d-1}\) be the unit sphere in \(\mathbb R^d\) equipped with the normalized Lebesgue measure \(d\sigma\). Suppose that \(\Omega\) is a homogeneous function of degree zero on \(\mathbb R^n\times \mathbb R\) that satisfies \(\Omega\in L(S^{n-1}\times S^{m-1})\) and \[ \int_{S^{n-1}}\Omega(x,y) d\sigma(x ...
Al-Qassem, H. +3 more
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Triebel--Lizorkin space estimates for multilinear operators of sublinear operators [PDF]
In this paper, we obtain the continuity for some multilinear operators related to certain non-convolution operators on the Triebel--Lizorkin space. The operators include Littlewood--Paley operator and Marcinkiewicz operator.Comment: 15 pages, no figures,
Lanzhe, Liu
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Parameter θ-Type Marcinkiewicz Integral on Nonhomogeneous Weighted Generalized Morrey Spaces
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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Let (𝒳, d, μ) be a non-homogeneous metric measure space satisfying the upper doubling and geometrically doubling conditions in the sense of Hytönen. Under assumption that θ and dominating function λ satisfy certain conditions, the authors prove that ...
Lu Guanghui +2 more
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A boundedness result for Marcinkiewicz integral operator
We extend a boundedness result for Marcinkiewicz integral operator. We find a new space of radial functions for which this class of singular integral operators remains Lp{L}^{p}-bounded when its kernel satisfies only the sole integrability condition.
Hawawsheh Laith, Abudayah Mohammad
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