Results 91 to 100 of about 24,858 (293)
In 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
doaj +1 more source
Canonical Commutation Relation Derived from Witt Algebra
From 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
doaj +1 more source
A Quasi-Commutative Ring That is Not Neo-Commutative [PDF]
An example of a ring that is quasi-commutative but not neo-commutative is given.
openaire +1 more source
Grothendieck and ℓ∞$\ell _\infty$‐Grothendieck Subspaces of ℓ∞$\ell _\infty$
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
wiley +1 more source
On pointwise and weighted estimates for commutators of Calder\'on-Zygmund operators [PDF]
In recent years, it has been well understood that a Calder\'on-Zygmund operator $T$ is pointwise controlled by a finite number of dyadic operators of a very simple structure (called the sparse operators).
A. Lerner +2 more
semanticscholar +1 more source
Weighted commutators in semi-abelian categories
We introduce new notions of “weighted centrality” and “weighted commutators” corresponding to each other in the same way as centrality of congruences and commutators do in the Smith commutator ...
Janelidze, George +5 more
core +1 more source
On the Nonnegative Rank of Positive Operators
ABSTRACT In this paper, we introduce the concept of a nonnegative rank of a positive operator T:X→Y$T: X\rightarrow Y$ between ordered vector spaces. In the case of nonnegative matrices, our definition agrees with the standard definition of a nonnegative rank.
Roman Drnovšek, Marko Kandić
wiley +1 more source
Characterization of compactness of commutators of bilinear singular integral operators [PDF]
The commutators of bilinear Calder\'on-Zygmund operators and point-wise multiplication with a symbol in $cmo$ are bilinear compact operators on product of Lebesgue spaces. This work shows that, for certain non-degenerate Calder\'on-Zygmund operators, the
Lucas Chaffee +4 more
semanticscholar +1 more source
On single commutators in II$_{1}$–factors
We investigate the question of whether all elements of trace zero in a II1-factor are single commutators. We show that all nilpotent elements are single commutators, as are all normal elements of trace zero whose spectral distributions are discrete ...
Anna Skripka +3 more
core +1 more source
Hyperbolic Rotations With Hybrid Numbers
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
wiley +1 more source

