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pro vyhledávání: '"Schatten classes"'
Autor:
Müller, Detlef
As main result, we show that a pseudodifferential operator in the Weyl calculus, whose symbol has compact Fourier support, lies in the Schatten class $\mathcal S^p$ if and only if its symbol lies in the Lebesgue space $L^p$ on phase space. As an imme
Externí odkaz:
http://arxiv.org/abs/2412.05879
Autor:
Ruzhansky, Michael, Zeng, Kai
In this note, we give criteria on noncommutative integral kernels ensuring that integral operators on quantum torus belong to Schatten classes. With the engagement of a noncommutative Schwartz' kernel theorem on the quantum torus, a specific test for
Externí odkaz:
http://arxiv.org/abs/2407.09715
The study of Schatten classes has a long tradition in geometric functional analysis and related fields. In this paper we study a variety of geometric and probabilistic aspects of finite-dimensional Schatten classes of not necessarily square matrices.
Externí odkaz:
http://arxiv.org/abs/2404.07145
We characterize the Schatten class $S^p$ of the commutator of Riesz transforms $[b,R_j]$ in $\mathbb R^n$ ($j=1,\ldots, n$) in the two weight setting for $n< p<\infty$, by introducing the condition that the symbol $b$ being in Besov spaces associated
Externí odkaz:
http://arxiv.org/abs/2404.00329
Autor:
Hadama, Sonae, Yamamoto, Takuto
In this paper, we consider the Strichartz estimates for orthonormal systems in the context of randomization. Frank, Lewin, Lieb, and Seiringer first proved the orthonormal Strichartz estimates. After that, many authors have studied this type of inequ
Externí odkaz:
http://arxiv.org/abs/2311.02713
Autor:
Iochum, Bruno, Zagrebnov, Valentin A.
Motivated by examples from physics and noncommutative geometry, given a generator $A$ of a Gibbs semigroup, we reexamine the relationship between the Schatten class of its resolvents and the behaviour of the norm-trace $\norm{e^{-tA}}_1\,$ when $t$ a
Externí odkaz:
http://arxiv.org/abs/2309.05394
Autor:
Bhimani, Divyang, Toft, Joachim
We deduce factorization properties for a quasi-Banach module over a quasi-Banach algebra. Especially we extend a result by Hewitt and prove that if any such algebra which possess a bounded left approximate identity, then any element in the module can
Externí odkaz:
http://arxiv.org/abs/2307.01590
In this paper, we establish the Schatten class and endpoint weak Schatten class estimates for the commutator of Riesz transforms on weighted $L^2$ spaces. It provides a weighted version for the estimate of the quantised derivative introduced by Alain
Externí odkaz:
http://arxiv.org/abs/2211.15085
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This article provides a deeper study of the Riesz transform commutators associated with the Neumann Laplacian operator $\Delta_N$ on $\mathbb R^n$. Along the line of singular value estimates for Riesz transform commutators established by Janson--Wolf
Externí odkaz:
http://arxiv.org/abs/2210.04358