Results 21 to 30 of about 7,644 (191)
Moment bounds for dependent sequences in smooth Banach spaces [PDF]
We prove a Marcinkiewicz-Zygmund type inequality for random variables taking values in a smooth Banach space. Next, we obtain some sharp concentration inequalities for the empirical measure of $\{T, T^2, \cdots, T^n\}$, on a class of smooth functions ...
Dedecker, Jérôme, Merlevède, Florence
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Interpolation of Marcinkiewicz spaces.
For each non-negative concave function \(\phi\) (t), the Marcinkiewicz space \(M_{\phi}\) consists of all measurable functions f such that \((\phi (t))^{-1}\int^{t}_{0}f^*(s)ds\leq C\) for all \(t>0\) and some constant C. Interpolation spaces with respect to couples \((M_{\phi_ 0},M_{\phi_ 1})\) of such spaces are considered.
Cwikel, Michael, Nilsson, Per
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A Decomposition of the Dual Space of Some Banach Function Spaces
We give a decomposition for the dual space of some Banach Function Spaces as the Zygmund space EXP𝛼 of the exponential integrable functions, the Marcinkiewicz space 𝐿𝑝,∞, and the Grand Lebesgue Space 𝐿𝑝),𝜃.
Claudia Capone, Maria Rosaria Formica
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A Note on a Class of Generalized Parabolic Marcinkiewicz Integrals along Surfaces of Revolution
In this article, certain sharp Lp estimates for a specific class of generalized Marcinkiewicz operators with mixed homogeneity associated to surfaces of revolution are established.
Mohammed Ali, Hussain Al-Qassem
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Marcinkiewicz-Zygmund inequalities [PDF]
We study a generalization of the classical Marcinkiewicz-Zygmund inequalities. We relate this problem to the sampling sequences in the Paley-Wiener space and by using this analogy we give sharp necessary and sufficient computable conditions for a family ...
Ortega Cerdà, Joaquim +1 more
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Optimal control of singular Fourier multipliers by maximal operators [PDF]
We control a broad class of singular (or "rough") Fourier multipliers by geometrically-defined maximal operators via general weighted $L^2(\mathbb{R})$ norm inequalities. The multipliers involved are related to those of Coifman--Rubio de Francia--Semmes,
Bennett, Jonathan
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Let , the authors introduce in this paper a class of the hypersingular Marcinkiewicz integrals along surface with variable kernels defined by , where with .
Ruiying Wei, Yin Li
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Boundedness of Marcinkiewicz Integrals on RBMO Spaces over Nonhomogeneous Metric Measure Spaces
Let X,d,μ be a metric measures space satisfying the upper doubling conditions and the geometrically doubling conditions in the sense of Hytönen. Under the assumption that the dominating function satisfies the weak reverse doubling condition, the authors ...
Ji Cheng, Guanghui Lu
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Banach–Saks property in Marcinkiewicz spaces
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Astashkin, S.V., Sukochev, F.A.
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An Obstacle Problem for Noncoercive Operators
We study the obstacle problem for second order nonlinear equations whose model appears in the stationary diffusion-convection problem. We assume that the growth coefficient of the convection term lies in the Marcinkiewicz space weak-LN.
Luigi Greco +2 more
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