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Estimates for a Rough Fractional Integral Operator and Its Commutators on p-Adic Central Morrey Spaces [PDF]

open access: goldFractal and Fractional, 2022
In the current paper, we obtain the boundedness of a rough p-adic fractional integral operator on p-adic central Morrey spaces. Moreover, we establish the λ-central bounded mean oscillations estimate for commutators of a rough p-adic fractional integral ...
Naqash Sarfraz, Fahd Jarad
doaj   +2 more sources

Weighted variable Morrey-Herz space estimates for $ m $th order commutators of $ n- $dimensional fractional Hardy operators

open access: goldAIMS Mathematics, 2023
In this paper, we establish the boundedness for $ m $th order commutators of $ n- $dimensional fractional Hardy operators and adjoint operators on weighted variable exponent Morrey-Herz space $ \mathrm{M\dot{K}}_{q, p(\cdot)}^{\alpha(\cdot), \lambda ...
Ming Liu, Bin Zhang, Xiaobin Yao
doaj   +2 more sources

Some weighted inequalities for Hausdorff operators and commutators

open access: yesJournal of Inequalities and Applications, 2018
In this paper, we consider the problem of boundedness of Hausdorff operator on weighted central Morrey spaces. In particular, we obtain sharp bounds for Hausdorff operators on power weighted central Morrey spaces. Analogous results for the commutators of
Amjad Hussain, Amna Ajaib
doaj   +2 more sources

Bloom weighted bounds for sparse forms associated to commutators [PDF]

open access: yesMathematische Zeitschrift, 2023
In this paper we consider bilinear sparse forms intimately related to iterated commutators of a rather general class of operators. We establish Bloom weighted estimates for these forms in the full range of exponents, both in the diagonal and off-diagonal
A. Lerner, E. Lorist, S. Ombrosi
semanticscholar   +1 more source

Compactness Characterizations of Commutators on Ball Banach Function Spaces [PDF]

open access: yesPotential Analysis, 2021
Let X be a ball Banach function space on ℝ n ${\mathbb R}^{n}$ . Let Ω be a Lipschitz function on the unit sphere of ℝ n ${\mathbb R}^{n}$ , which is homogeneous of degree zero and has mean value zero, and let T _Ω be the convolutional singular integral ...
Jin Tao   +3 more
semanticscholar   +1 more source

Modular Commutators in Conformal Field Theory. [PDF]

open access: yesPhysical Review Letters, 2022
The modular commutator is a recently discovered entanglement quantity that quantifies the chirality of the underlying many-body quantum state. In this Letter, we derive a universal expression for the modular commutator in conformal field theories in 1+1 ...
Yijian Zou   +4 more
semanticscholar   +1 more source

Efficient product formulas for commutators and applications to quantum simulation [PDF]

open access: yesPhysical Review Research, 2021
We construct product formulas for exponentials of commutators and explore their applications. First, we directly construct a third-order product formula with six exponentials by solving polynomial equations obtained using the operator differential method.
Yu-An Chen   +5 more
semanticscholar   +1 more source

On decompositions of matrices into products of commutators of involutions

open access: yesThe Electronic Journal of Linear Algebra, 2022
Let $F$ be a field and let $n$ be a natural number greater than $1$. The aim of this paper is to prove that if $F$ contains at least three elements, then every matrix in the special linear group $\mathrm{SL}_n(F)$ is a product of at most two commutators ...
Tran Nam Son   +3 more
semanticscholar   +1 more source

Variation inequalities for rough singular integrals and their commutators on Morrey spaces and Besov spaces

open access: yesAdvances in Nonlinear Analysis, 2021
This paper is devoted to investigating the boundedness, continuity and compactness for variation operators of singular integrals and their commutators on Morrey spaces and Besov spaces.
Zhang Xiao, Liu Feng, Zhang Huiyun
doaj   +1 more source

Commutators in the two scalar and matrix weighted setting [PDF]

open access: yesJournal of the London Mathematical Society, 2020
In this paper, we approach the two weighted boundedness of commutators via matrix weights. This approach provides both a sufficient and a necessary condition for the two weighted boundedness of commutators with an arbitrary linear operator in terms of ...
J. Isralowitz, S. Pott, S. Treil
semanticscholar   +1 more source

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