Results 1 to 10 of about 4,613,210 (206)
BMO with respect to Banach function spaces
Mathematische Annalen, 2022 For every cube $Q \subset \mathbb{R}^n$ we let $X_Q$ be a quasi-Banach function space over $Q$ such that $\|\chi_Q\|_{X_Q} \simeq 1$, and for $X= \{X_Q\}$ define \begin{align*} \|f\|_{\mathrm{BMO}_X}&:=\sup_Q \,\|f-{\textstyle\frac{1}{|Q|}\int_Qf} \|_ ...
A. Lerner, E. Lorist, S. Ombrosi
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$BMO$ spaces for nondoubling metric measure spaces [PDF]
Publicacions Matemàtiques, 2020 In this article we study the family of $BMO^p$ spaces, $p \geq 1$, in the general context of metric measure spaces. We give a characterization theorem that allows to describe all possible relations between these spaces considered as sets of functions.
Dariusz Kosz
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Functional Calculus on BMO and Related Spaces
Journal of Functional Analysis, 2002 It is considered a nonlinear autonomous superposition operator \[ {\mathbf T}_f [g] = f\circ g \] on a certain subspace \(X\) of the space \(BMO({\mathbb R}^n)\). The question is to characterise those Borel measurable functions \(f\) for which the operator \({\mathbf T}_f\) is continuous or differentiable on \(X\).
BOURDAUD G. +2 more
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BMO-Teichmüller spaces revisited [PDF]
Journal of Mathematical Analysis and Applications, 2018 19 ...
Michel Zinsmeister, Huaying Wei
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Comparison of the classical BMO with the BMO spaces associated with operators and applications
Revista Matemática Iberoamericana, 2008 Let L be a generator of a semigroup satisfying the Gaussian upper bounds. A new {\rm BMO}_L space associated with L was recently introduced in [Duong, X. T.
Lixin Yan +4 more
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BMO spaces associated with semigroups of operators [PDF]
Mathematische Annalen, 2011 We study BMO spaces associated with semigroup of operators and apply the results to boundedness of Fourier multipliers. We prove a universal interpolation theorem for BMO spaces and prove the boundedness of a class of Fourier multipliers on noncommutative Lp spaces for all 1 < p < \infty, with optimal constants in p.
Marius Junge, Tao Mei
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Characterizations of Weighted BMO Space and Its Application [PDF]
Acta Mathematica Sinica, English Series, 2017 In this paper, we prove that the weighted BMO space BMOp(ω)={f∈Lloc1:supQ‖χQ‖Lp(ω)−1‖(f−fQ)ω−1χQ‖Lp(ω)
Dinghuai Wang, Jiang Zhou, Z. Teng
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BMO and Hankel Operators on Bergman Space of the Siegel Upper Half-Space
Complex Analysis and Operator Theory, 2021 On the setting of the Siegel upper half-space we study the spaces of bounded and vanishing mean oscillations which are defined in terms of the Berezin transform, we use them to characterize bounded and compact Hankel operators on Bergman space.
Jiajia Si
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Products of Functions in Hardy and Lipschitz or BMO Spaces [PDF]
, 2009 We define as a distribution the product of a function (or distribution) h in some Hardy space Hp with a function b in the dual space of Hp. Moreover, we prove that the product bxh may be written as the sum of an integrable function with a distribution that belongs to some Hardy-Orlicz space, or to the same Hardy space Hp, depending on the values of p.
Justin Feuto, Aline Bonami
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Universal Teichmüller space and BMO
Advances in Mathematics, 2013 AbstractWe first give some new characterizations on BMOA–Teichmüller space and various characterizations on VMOA–Teichmüller space as well. In particular, we prove that a quasisymmetric conformal welding h corresponds to an asymptotically smooth curve in the sense of Pommerenke (1978) [32] precisely when h is absolutely continuous with logh′∈VMO.
Yu-liang Shen, Huaying Wei
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