Results 1 to 10 of about 4,638,257 (255)

BMO with respect to Banach function spaces

open access: greenMathematische 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
semanticscholar   +6 more sources

A Characterization of Central BMO Space via the Commutator of Fractional Hardy Operator

open access: yesJournal of Function Spaces, 2020
This paper is devoted in characterizing the central BMO ℝn space via the commutator of the fractional Hardy operator with rough kernel. Precisely, by a more explicit decomposition of the operator and the kernel function, we will show that if the symbol ...
Lei Zhang, Shaoguang Shi
doaj   +2 more sources

$BMO$ spaces for nondoubling metric measure spaces [PDF]

open access: greenPublicacions 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
openaire   +8 more sources

Functional Calculus on BMO and Related Spaces

open access: bronzeJournal 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
openaire   +6 more sources

BMO-Teichmüller spaces revisited [PDF]

open access: greenJournal of Mathematical Analysis and Applications, 2018
19 ...
Michel Zinsmeister, Huaying Wei
openaire   +4 more sources

Comparison of the classical BMO with the BMO spaces associated with operators and applications

open access: bronzeRevista 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
openaire   +6 more sources

BMO spaces associated with semigroups of operators [PDF]

open access: greenMathematische 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
openaire   +5 more sources

Characterizations of Weighted BMO Space and Its Application [PDF]

open access: yesActa 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
semanticscholar   +5 more sources

BMO and Hankel Operators on Bergman Space of the Siegel Upper Half-Space

open access: greenComplex 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
semanticscholar   +3 more sources

Magnetic anomaly inversion through the novel barnacles mating optimization algorithm [PDF]

open access: yesScientific Reports, 2022
Dealing with the ill-posed and non-unique nature of the non-linear geophysical inverse problem via local optimizers requires the use of some regularization methods, constraints, and prior information about the Earth's complex interior. Another difficulty
Hanbing Ai   +5 more
doaj   +2 more sources

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