Results 51 to 60 of about 1,304 (215)
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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Hilbert's Basis Theorem for Poisson Ore Extensions
Mathematische Nachrichten, EarlyView.ABSTRACT We prove an analogue of Hilbert's basis theorem for Poisson Ore extensions and Poisson Laurent Ore extensions. We also obtain corresponding results for iterated Poisson Ore extensions and iterated Poisson Laurent Ore extensions associated to commuting Poisson‐pairs.
Per Bäck +3 more
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Bloom-type two-weight inequalities for commutators of maximal functions
Analysis and Geometry in Metric SpacesWe study Bloom-type two-weight inequalities for commutators of the Hardy-Littlewood maximal function and sharp maximal function. Some necessary and sufficient conditions are given to characterize the two-weight inequalities for such commutators.
Zhang Pu, Fan Di
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Grothendieck and ℓ∞$\ell _\infty$‐Grothendieck Subspaces of ℓ∞$\ell _\infty$
Mathematische Nachrichten, EarlyView.ABSTRACT Let c=2ℵ0$\mathfrak {c}=2^{\aleph _0}$. We prove that ℓ∞$\ell _\infty$ contains 2c$2^{\mathfrak {c}}$ pairwise non‐isomorphic non‐reflexive Grothendieck subspaces. They may all be chosen to contain the canonical copy of c0$c_0$ and to have an infinite‐dimensional reflexive quotient. This is optimal and answers Problem 24 of González and Kania [
Manuel González, Tomasz Kania
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Journal of Function SpacesIn this paper, we investigate the quantitative two-weight boundedness for iterated commutators of multilinear fractional operators with Lα,r′-Hörmander conditions. The analysis relies heavily on sparse domination techniques for the operators.
Zhidan Wang, Chunmei Zhang
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Canonical Commutation Relation Derived from Witt Algebra
MathematicsFrom an arbitrary definition of operators inspired by oscillators of Virasoro, an algebra is derived. It fits the structure of Virasoro algebra with null central charge or Witt algebra. The resulting formalism has yielded commutators with a dependence on
Huber Nieto-Chaupis
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Norm of Hilbert Operator’s Commutants
Axioms, 2023 In this study, we obtain the ℓp-norms of six classes of operators that commute with the infinite Hilbert operators.
Hadi Roopaei
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A Quasi-Commutative Ring That is Not Neo-Commutative [PDF]
Proceedings of the American Mathematical Society, 1994 An example of a ring that is quasi-commutative but not neo-commutative is given.
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Hyperbolic Rotations With Hybrid Numbers
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT This paper presents a geometric and algebraic analysis of hyperbolic hybrid numbers, which combine structural features of the complex, dual, and hyperbolic number systems. Based on the algebraic properties of the hybrid number set, hyperbolic rotations in both the plane and space are investigated.
İskender Öztürk +2 more
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An Innovative Approach to Multi‐Valued Logic
IEEJ Transactions on Electrical and Electronic Engineering, EarlyView.The current generation of computer systems operates on the principles of binary logic, which encompasses both logical and arithmetic operations. However, silicon technology has reached its peak performance, prompting researchers to explore alternative methods for enhancing computational efficiency. One such method is the adoption of Multi‐Valued Logic (
Ali Mokhtari, Peyman Kabiri
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