Results 21 to 30 of about 7,644 (191)

Moment bounds for dependent sequences in smooth Banach spaces [PDF]

open access: yes, 2014
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
core   +4 more sources

Interpolation of Marcinkiewicz spaces.

open access: yesMATHEMATICA SCANDINAVICA, 1985
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
openaire   +3 more sources

A Decomposition of the Dual Space of Some Banach Function Spaces

open access: yesJournal of Function Spaces and Applications, 2012
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
doaj   +1 more source

A Note on a Class of Generalized Parabolic Marcinkiewicz Integrals along Surfaces of Revolution

open access: yesMathematics, 2022
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
doaj   +1 more source

Marcinkiewicz-Zygmund inequalities [PDF]

open access: yes, 2014
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
core   +2 more sources

Optimal control of singular Fourier multipliers by maximal operators [PDF]

open access: yes, 2013
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
core   +2 more sources

Hypersingular Marcinkiewicz Integrals along Surface with Variable Kernels on Sobolev Space and Hardy-Sobolev Space

open access: yesJournal of Inequalities and Applications, 2011
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
doaj   +2 more sources

Boundedness of Marcinkiewicz Integrals on RBMO Spaces over Nonhomogeneous Metric Measure Spaces

open access: yesJournal of Mathematics, 2015
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
doaj   +1 more source

Banach–Saks property in Marcinkiewicz spaces

open access: yesJournal of Mathematical Analysis and Applications, 2007
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Astashkin, S.V., Sukochev, F.A.
openaire   +2 more sources

An Obstacle Problem for Noncoercive Operators

open access: yesAbstract and Applied Analysis, 2015
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
doaj   +1 more source

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