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Let $R_{\lambda,j}$ be the $j$-th Bessel--Riesz transform, where $n\geq 1$, $\lambda>0$, and $j=1,\ldots,n+1$. In this article, we establish a Weyl type asymptotic for $[M_f,R_{\lambda,j}]$, the commutator of $R_{\lambda,j}$ with multiplication opera
Externí odkaz:
http://arxiv.org/abs/2411.14928
Autor:
Gil-Rodrigo, Sofia, López-Martín, Raúl, Yener, Görsev, Wiersema, Jan R., Güntekin, Bahar, Zanin, Massimiliano
Functional networks representing human brain dynamics have become a standard tool in neuroscience, providing an accessible way of depicting the computation performed by the brain in healthy and pathological conditions. Yet, these networks share multi
Externí odkaz:
http://arxiv.org/abs/2411.01522
From the viewpoint of $*$-homomorphism on $C^{*}$-algebras, we establish the principal symbol mapping for filtered manifolds which are locally isomorphic to stratified Lie groups. Let $\mathbb{G}$ be a stratified Lie group, and let $M$ be a filtered
Externí odkaz:
http://arxiv.org/abs/2410.22125
Autor:
Marchesi, Stefano, Iuliano, Antonio, Prandini, Elisa, Da Vela, Paolo, Doro, Michele, Loporchio, Serena, Miceli, Davide, Righi, Chiara, Zanin, Roberta, Bronzini, Ettore, Vignali, Cristian
We present the results of a multi-wavelength study of blazars selected from the 5th ROMABZCAT catalog. We selected from this sample a subsample of 2435 objects having at least one counterpart in one of the three main archival X-ray catalogs, which is
Externí odkaz:
http://arxiv.org/abs/2410.18278
Let $\mathcal{M}$ be a semifinite von Neumann algebra and let $E$ be a symmetric function space on $(0,\infty)$. Denote by $E(\mathcal{M})$ the non-commutative symmetric space of measurable operators affiliated with $\mathcal{M}$ and associated with
Externí odkaz:
http://arxiv.org/abs/2409.15852
Let $E(\mathbb{T}^{d}_{\theta}),F(\mathbb{T}^{d}_{\theta})$ be two symmetric operator spaces on noncommutative torus $\mathbb{T}^{d}_{\theta}$ corresponding to symmetric function spaces $E,F$ on $(0,1)$. We obtain the Gagliardo--Nirenberg interpolati
Externí odkaz:
http://arxiv.org/abs/2408.13094
Autor:
Magiotto, Murilo H., Zanin, Guilherme L., Cardoso, Wesley B., Avelar, Ardiley T., Gomes, Rafael M.
The derivation of a function is a fundamental tool for solving problems in calculus. Consequently, the motivations for investigating physical systems capable of performing this task are numerous. Furthermore, the potential to develop an optical compu
Externí odkaz:
http://arxiv.org/abs/2408.04710
We study trace ideal properties of the commutators $[(-\Delta)^{\frac{\epsilon}{2}},M_f]$ of a power of the Laplacian with the multiplication operator by a function $f$ on $\mathbb R^d$. For a certain range of $\epsilon\in\mathbb R$, we show that thi
Externí odkaz:
http://arxiv.org/abs/2405.10652
We prove that the sequence space $\ell_{p,q}$ does not embed into $L_{p,q}(\mathcal{M},\tau)$ for any noncommutative probability space $(\mathcal{M},\tau)$, $1< p<\infty $, $1\le q<\infty$, $p\ne q$. Several applications to the isomorphic classificat
Externí odkaz:
http://arxiv.org/abs/2404.06761
In the study on the diagonality of an $n$-tuple $\alpha=(\alpha(j))_{j=1}^n$ of commuting self-adjoint operators modulo a given $n$-tuple $\Phi=(\mathcal{J}_1,\ldots,\mathcal{J}_n)$ of normed ideals in $B(H)$, Voiculescu introduced the notion of quas
Externí odkaz:
http://arxiv.org/abs/2404.00259