BMO with respect to Banach function spaces
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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A Characterization of Central BMO Space via the Commutator of Fractional Hardy Operator
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
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Magnetic anomaly inversion through the novel barnacles mating optimization algorithm [PDF]
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
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Characterizations of Weighted BMO Space and Its Application [PDF]
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
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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Results for fractional bilinear Hardy operators in central varying exponent Morrey space
This paper intends to demonstrate the boundedness of the fractional bilinear Hardy operator and its adjoint on the $ \lambda $-central Morrey space with variable exponents.
Muhammad Asim , Ghada AlNemer
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Remarks on the weak-strong uniqueness for the 2D quasi-geostrophic equation in BMO space
Qingqing Liu, Yan Jia, Bo-Qing Dong
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Hybrid Bird Mating Optimizer With Single-Based Algorithms for Combinatorial Optimization Problems
Bird mating optimizer (BMO) is a population-based metaheuristic that has been recently extended to solve combinatorial optimization problems. Even though the algorithm shows promising performance in solving combinatorial optimization problems, it suffers
Anas Arram, Masri Ayob, Alaa Sulaiman
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A note on commutators of singular integrals with BMO and VMO functions in the Dunkl setting [PDF]
On RN$\mathbb {R}^N$ equipped with a root system R, multiplicity function k≥0$k \ge 0$ , and the associated measure dw(x)=∏α∈R|⟨x,α⟩|k(α)dx$dw(\mathbf {x})=\prod _{\alpha \in R}|\langle \mathbf {x},\alpha \rangle |^{k(\alpha )}\,d\mathbf {x}$ , we ...
Jacek Dziubański, Agnieszka Hejna
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Space of chord-arc curves and BMO/VMO Teichmüller space
This paper focuses on the structure of the subspace \(T_c\) of the BMO Teichmüller space \(T_b\) corresponding to chord-arc curves, which contains the VMO Teichmüller space \(T_v\).
Katsuhiko Matsuzaki, Huaying Wei
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