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Regularity and continuity of commutators of the Hardy–Littlewood maximal function

Mathematische Nachrichten, 2020
Let M be the Hardy–Littlewood maximal function and let [b,M] be its corresponding commutator.
Qingying Xue, Feng Liu, Pu Zhang
exaly   +2 more sources

PROJECTIONS, COMMUTATORS AND LIE IDEALS IN C*-ALGEBRAS

Mathematical Proceedings of the Royal Irish Academy, 2022
:In this expository note, we survey some recent investigations into the problem of determining when the (algebraic) linear span of the projections in a unital, simple C*-algebra ${\cal A}$ coincides with the algebra. We highlight the relationship of this
L. Marcoux
semanticscholar   +1 more source

Two characterizations of central BMO space via the commutators of Hardy operators

, 2021
This article addresses two characterizations of BMO⁢(ℝn){\mathrm{BMO}(\mathbb{R}^{n})}-type space via the commutators of Hardy operators with homogeneous kernels on Lebesgue spaces: (i) characterization of the central BMO⁢(ℝn){\mathrm{BMO}(\mathbb{R}^{n})
Zun-Wei Fu, Shan-Zhen Lu, S. Shi
semanticscholar   +1 more source

The mapping class group is generated by two commutators

open access: yesJournal of Algebra, 2021
We show that the mapping class group of any closed connected orientable surface of genus at least five is generated by only two commutators, and if the genus is three or four, by three commutators. (C) 2021 Elsevier Inc.
Mustafa Korkmaz
exaly   +2 more sources

On compactness of commutators of multiplication and bilinear pseudodifferential operators and a new subspace of BMO

, 2020
It is known that the compactness of the commutators of point-wise multiplication with bilinear homogeneous Calderon–Zygmund operators acting on product of Lebesgue spaces is characterized by the multiplying function being in the space CMO.
Rodolfo H. Torres, Qing-Ying Xue
semanticscholar   +1 more source

Commutativity and Homotopy-Commutativity

1964
The aim of this section is to show, by means of the methods developed in Chapter 3, that for an associative H-space G there exist maps G× G → G satisfying certain commutativity conditions (Theorem 4.5). As will be explained in Remarks 4.6 this result is related to the work of other authors on homotopy-commutativity.
M. Arkowitz, C. R. Curjel
openaire   +1 more source

Boundedness of commutators of fractional integral operators on mixed Morrey spaces

Integral transforms and special functions, 2019
In this paper, we give the necessary and sufficient conditions for the boundedness of commutators of fractional integral operators on mixed Morrey spaces. We construct the predual spaces of mixed Morrey spaces.
T. Nogayama
semanticscholar   +1 more source

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