Results 41 to 50 of about 27,367 (272)

Commutators on Weighted Morrey Spaces on Spaces of Homogeneous Type

open access: yesAnalysis and Geometry in Metric Spaces, 2020
In this paper, we study the boundedness and compactness of the commutator of Calderón– Zygmund operators T on spaces of homogeneous type (X, d, µ) in the sense of Coifman and Weiss.
Gong Ruming   +3 more
doaj   +1 more source

Recognition of Acoustic Signals of Commutator Motors

open access: yesApplied Sciences, 2018
Most faults can stop a motor, and time is lost in fixing the damaged motor. This is a reason why it is essential to develop fault-detection methods. This paper describes the acoustic-based fault detection of two commutator motors: the commutator motor of
A. Głowacz
semanticscholar   +1 more source

A Short Proof of Commutator Estimates [PDF]

open access: yes, 2017
The goal of this note is to give, at least for a restricted range of indices, a short proof of homogeneous commutator estimates for fractional derivatives of a product, using classical tools.
P. D’Ancona
semanticscholar   +1 more source

Commutators and Squares in Free Nilpotent Groups

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2009
In a free group no nontrivial commutator is a square. And in the free group F2=F(x1,x2) freely generated by x1,x2 the commutator [x1,x2] is never the product of two squares in F2, although it is always the product of three squares.
Mehri Akhavan-Malayeri
doaj   +1 more source

Compactness of Riesz transform commutator associated with Bessel operators [PDF]

open access: yesJournal d'Analyse Mathematique, 2016
Let λ > 0 and $${\Delta _\lambda }: = - \frac{{{d^2}}}{{d{x^2}}} - \frac{{2\lambda }}{x}\frac{d}{{dx}}$$Δλ:=−d2dx2−2λxddx be the Bessel operator on R+:= (0,∞). We first introduce and obtain an equivalent characterization of CMO(R+, x2λdx).
X. Duong   +4 more
semanticscholar   +1 more source

Delta Opioid Receptors within the Cortico‐Thalamic Circuitry Underlie Hyperactivity Induced by High‐Dose Morphine

open access: yesAdvanced Science, EarlyView.
Morphine activates the excitatory cingulate cortex–intermediate rostrocaudal division of zona incerta (Cg‐ZIm) pathway to drive hyperlocomotion in mice. Inhibiting the Cg‐ZIm pathway attenuates both acute and chronic morphine‐induced hyperlocomotion, while its activation mimics morphine's motor effects.
Chun‐Yue Li   +13 more
wiley   +1 more source

Subicular Astrocytes Govern Seizure‐Impaired Fear Memory

open access: yesAdvanced Science, EarlyView.
Astrocytes in dorsal subiculum act as a critical modulator of seizure‐associated cognitive dysfunction, operating through a Ca2+‐dependent adenosine‐linked astrocyte‐neuron signaling pathway that disrupts neuronal circuit homeostasis. This research highlights the potential of astrocyte‐targeted interventions as a therapeutic strategy, moving beyond the
Yuying Shao   +15 more
wiley   +1 more source

Multiple Weighted Estimates for Vector-Valued Multilinear Singular Integrals with Non-Smooth Kernels and Its Commutators

open access: yesJournal of Function Spaces and Applications, 2013
This note concerns multiple weighted inequalities for vector-valued multilinear singular integral operator with nonsmooth kernel and its corresponding commutators containing multilinear commutator and iterated commutator generated by the vector-valued ...
Dongxiang Chen, Dan Zou, Suzhen Mao
doaj   +1 more source

ON THE BOUNDEDNESS OF THE RIESZ POTENTIAL AND ITS COMMUTATOR’S IN THE GLOBAL MORREY TYPE SPACES WITH VARIABLE EXPONENTS

open access: yesВестник КазНУ. Серия математика, механика, информатика, 2022
The paper considers the global Morrey-type spaces GMp(.),θ(.),w(.)(Ω) with variable exponents p(.), θ(.), where Ω ⊂ Rn is an unbounded domain. The questions of boundedness of the Riesz potential and its commutator in these spaces are investigated.
Zh. M. Onerbek
doaj   +1 more source

Commutator width in the first Grigorchuk group [PDF]

open access: yesGroups, Geometry, and Dynamics, 2017
Let $G$ be the first Grigorchuk group. We show that the commutator width of $G$ is $2$: every element $g\in [G,G]$ is a product of two commutators, and also of six conjugates of $a$.
L. Bartholdi, T. Groth, I. Lysenok
semanticscholar   +1 more source

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