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Boundedness of commutators of fractional integral operators on mixed Morrey spaces
Integral transforms and special functions, 2019In 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
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Regularity and continuity of commutators of the Hardy–Littlewood maximal function
Mathematische Nachrichten, 2020Let M be the Hardy–Littlewood maximal function and let [b,M] be its corresponding commutator.
Feng Liu, Qingying Xue, Pu Zhang
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Two Weight Commutators on Spaces of Homogeneous Type and Applications
Journal of Geometric Analysis, 2018In this paper, we establish the two weight commutator theorem of Calderón–Zygmund operators in the sense of Coifman–Weiss on spaces of homogeneous type, by studying the weighted Hardy and BMO space for $$A_2$$ A 2 weights and by proving the sparse ...
X. Duong +5 more
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Commutators of maximal functions on spaces of homogeneous type and their weighted, local versions
Frontiers of Mathematics in China, 2019We obtain the characterizations of commutators of several versions of maximal functions on spaces of homogeneous type. In addition, with the aid of interpolation theory, we provide weighted version of the commutator theorems by establishing new ...
Zunwei Fu, Elodie Pozzi, Qingyan Wu
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On the compactness of oscillation and variation of commutators
Banach Journal of Mathematical Analysis, 2019In this paper, we first establish the weighted compactness result for oscillation and variation associated with the truncated commutator of singular integral operators. Moreover, we establish a new CMO(Rn)\documentclass[12pt]{minimal} \usepackage{amsmath}
Weichao Guo +3 more
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Commutators and the Commutator Subgroup
The American Mathematical Monthly, 1977(1977). Commutators and the Commutator Subgroup. The American Mathematical Monthly: Vol. 84, No. 9, pp. 720-722.
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Endpoint estimates of linear commutators on Hardy spaces over spaces of homogeneous type
Mathematical methods in the applied sciences, 2018Let (X,d,μ) be a metric measure space of homogeneous type in the sense of Coifman and Weiss. In this article, the authors prove that bilinear operators, which are finite combinations of compositions of commutators and Calderón‐Zygmund operators, are ...
Liguang Liu +3 more
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Economic Theory, 2017 We consider the role of a nonlinear commuting cost function in determination of the equilibrium commuting pattern where all agents are mobile. Previous literature has considered only linear commuting cost, where in equilibrium, all workers are indifferent about their workplace location.
Marcus Berliant, Takatoshi Tabuchi
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Mathematische Annalen, 2017
We present a unified method to obtain unweighted and weighted estimates of linear and multilinear commutators with BMO functions, that is amenable to a plethora of operators and functional settings.
Á. Bényi +4 more
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We present a unified method to obtain unweighted and weighted estimates of linear and multilinear commutators with BMO functions, that is amenable to a plethora of operators and functional settings.
Á. Bényi +4 more
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American Journal of Mathematics, 1952
A mathematical formulation of the famous Heisenberg uncertainty principle is that a certain pair of linear transformations P and Q satisfies, after suitable normalizations, the equation PQ - QP = 1. It is easy enough to produce a concrete example of this behavior; consider L2(-∞, +∞) and let P and Q be the differentiation transformation and the ...
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A mathematical formulation of the famous Heisenberg uncertainty principle is that a certain pair of linear transformations P and Q satisfies, after suitable normalizations, the equation PQ - QP = 1. It is easy enough to produce a concrete example of this behavior; consider L2(-∞, +∞) and let P and Q be the differentiation transformation and the ...
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