Commutation matrices and Commutation tensors [PDF]
Linear and Multilinear Algebra, 2018 The commutation matrix was first introduced in statistics as a transposition matrix by Murnaghan in 1938. In this paper, we first investigate the commutation matrix which is employed to transform a matrix into its transpose. We then extend the concept of the commutation matrix to commutation tensor and use the commutation tensor to achieve the ...
Lingling He, Zerong Lin, Changqing Xu
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The boundedness of variation associated with the commutators of approximate identities
Journal of Inequalities and Applications, 2021 In this paper, we establish L p $L^{p}$ -boundedness and endpoint estimates for variation associated with the commutators of approximate identities, which are new for variation operators.
Yongming Wen, Xianming Hou
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Generalized Fractional Integral Operators and Their Commutators with Functions in Generalized Campanato Spaces on Orlicz Spaces [PDF]
Taiwanese journal of mathematics, 2018 We investigate the commutators $[b,I_{\rho}]$ of generalized fractional integral operators $I_{\rho}$ with functions $b$ in generalized Campanato spaces and give a necessary and sufficient condition for the boundedness of the commutators on Orlicz spaces.
Minglei Shi, Ryutaro Arai, E. Nakai
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Weighted and endpoint estimates for commutators of bilinear pseudo-differential operators
AIMS Mathematics, 2022 In this paper, by applying the accurate estimates of the Hörmander class, the authors consider the commutators of bilinear pseudo-differential operators and the operation of multiplication by a Lipschitz function.
Yanqi Yang, Shuangping Tao, Guanghui Lu
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Estimates for the Commutators of p-Adic Hausdorff Operator on Herz-Morrey Spaces
Mathematics, 2019 In this paper, we investigate the boundedness of commutators of matrix Hausdorff operator on the weighted p-adic Herz-Morrey space with the symbol functions in weighted central bounded mean oscillations (BMO) and Lipschitz spaces.
Naqash Sarfraz, Amjad Hussain
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Doubly commuting and dual doubly commuting semigroups of isometries [PDF]
arXiv, 2023 Structures of commuting semigroups of isometries under certain additional assumptions like double commutativity or dual double commutativity are found.
arxiv
Weighted little bmo and two-weight inequalities for Journé commutators [PDF]
, 2017 We characterize the boundedness of the commutators $[b, T]$ with biparameter Journe operators $T$ in the two-weight, Bloom-type setting, and express the norms of these commutators in terms of a weighted little $bmo$ norm of the symbol $b$.
I. Holmes, S. Petermichl, B. Wick
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Weighted Central BMO Spaces and Their Applications
Journal of Function Spaces, 2021 In this paper, the central BMO spaces with Muckenhoupt Ap weight is introduced. As an application, we characterize these spaces by the boundedness of commutators of Hardy operator and its dual operator on weighted Lebesgue spaces.
Huan Zhao, Zongguang Liu
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Journal of Function Spaces, 2022 We show that the maximal operator associated with multilinear Calderón-Zygmund singular integrals and its commutators are bounded on products of central Morrey spaces with variable exponent.
Liwei Wang
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Zagreb indices of commuting and non-commuting graphs of finite groups and Hansen-Vukičević conjecture [PDF]
arXiv, 2023 In this paper we compute first and second Zagreb indices of commuting and non-commuting graphs of finite groups and determine several classes of finite groups such that their commuting and non-commuting graphs satisfy Hansen-Vuki\v{c}evi\'c conjecture.
arxiv