Zobrazeno 1 - 10
of 258
pro vyhledávání: '"43A22"'
Autor:
Rana, Tapendu, Ruzhansky, Michael
Our primary objective in this article is to establish H\"ormander type $L^p \rightarrow L^q$ Fourier multiplier theorems in the context of noncompact type Riemannian symmetric spaces $\mathbb{X}$ of arbitrary rank for the range $1 < p \leq 2 \leq q <
Externí odkaz:
http://arxiv.org/abs/2409.17969
In this article, we establish three fundamental Fourier inequalities: the Hausdorff-Young inequality, the Paley inequality, and the Hausdorff-Young-Paley inequality for $(l, n)$-type functions on $\mathrm{SL}(2,\mathbb{R})$. Utilizing these inequalit
Externí odkaz:
http://arxiv.org/abs/2409.17918
Autor:
Martini, Alessio, Plewa, Paweł
Let $L_\nu = -\partial_x^2-(\nu-1)x^{-1} \partial_x$ be the Bessel operator on the half-line $X_\nu = [0,\infty)$ with measure $x^{\nu-1} \,\mathrm{d} x$. In this work we study singular integral operators associated with the Laplacian $\Delta_\nu = -
Externí odkaz:
http://arxiv.org/abs/2409.12833
Autor:
Duquet, Charles, Merdy, Christian Le
Let $\varphi$ be a normal semi-finite faithful weight on a von Neumann algebra $A$,let $(\sigma^\varphi_r)_{r\in{\mathbb R}}$ denote the modular automorphism group of $\varphi$, and let $T\colon A\to A$ be a linear map. We say that $T$ admits an abso
Externí odkaz:
http://arxiv.org/abs/2406.06074
Autor:
Martini, Alessio, Müller, Detlef
Let $\mathcal{L}$ be a homogeneous left-invariant sub-Laplacian on a $2$-step Carnot group. We devise a new geometric approach to sharp fixed-time $L^p$-bounds with loss of derivatives for the wave equation driven by $\mathcal{L}$, based on microloca
Externí odkaz:
http://arxiv.org/abs/2406.04315
A kind of generalized Gelfand pair is introduced via a Banach algebra consisting of bi-invariant functions in a weighted Lebesgue space. The related spherical functions and the Fourier transformation are constructed. The multipliers of the underlying
Externí odkaz:
http://arxiv.org/abs/2406.03613
Autor:
Nemati, Mehdi, Renani, Sima Soltani
Let ${\Bbb G}$ be a locally compact quantum group and ${\mathcal T}(L^2({\Bbb G}))$ be the Banach algebra of trace class operators on $L^2({\Bbb G})$ with the convolution induced by the right fundamental unitary of ${\Bbb G}$. We study the space of h
Externí odkaz:
http://arxiv.org/abs/2405.10910
Autor:
Chen Lin, Luo Xiaolin
Publikováno v:
Open Mathematics, Vol 22, Iss 1, Pp 222-224 (2024)
In this article, we focus on exploring the fuzzy version of the Hyers-Ulam-Rassias stability of nn-ring homomorphisms and nn-ring derivations in the context of fuzzy Banach algebras. Our investigation utilizes the direct method.
Externí odkaz:
https://doaj.org/article/f1e282c7ff974503bb392f2ad53d9518
Autor:
Martini, Alessio, Plewa, Paweł
Publikováno v:
Annali di Matematica Pura ed Applicata, 203 no. 3 (2024), p. 1361-1408
Let $G$ be the semidirect product $N \rtimes \mathbb{R}$, where $N$ is a stratified Lie group and $\mathbb{R}$ acts on $N$ via automorphic dilations. Homogeneous left-invariant sub-Laplacians on $N$ and $\mathbb{R}$ can be lifted to $G$, and their su
Externí odkaz:
http://arxiv.org/abs/2305.03467
Let $G$ be a locally compact group. In this paper, we study various invariant subspaces of the duals of the algebras $A_M(G)$ and $A_{cb}(G)$ obtained by taking the closure of the Fourier algebra $A(G)$ in the multiplier algebra $MA(G)$ and completel
Externí odkaz:
http://arxiv.org/abs/2304.06195