Zobrazeno 1 - 10
of 12 784
pro vyhledávání: '"Werner, J. A."'
Generalized Ces\`aro operators $C_t$, for $t\in [0,1)$, are investigated when they act on the disc algebra $A(\mathbb{D})$ and on the Hardy spaces $H^p$, for $1\leq p \leq \infty$. We study the continuity, compactness, spectrum and point spectrum of
Externí odkaz:
http://arxiv.org/abs/2410.08056
The finite Hilbert transform $T$, when acting in the classical Zygmund space $\logl$ (over $(-1,1)$), was intensively studied in \cite{curbera-okada-ricker-log}. In this note an integral representation of $T$ is established via the $L^1(-1,1)$-valued
Externí odkaz:
http://arxiv.org/abs/2406.16233
Recent results concerning the linear dynamics and mean ergodicity of compact operators in Banach spaces, together with additional new results, are employed to investigate various spectral properties of generalized Ces\`aro operators acting in large c
Externí odkaz:
http://arxiv.org/abs/2402.09238
An investigation is made of the generalized Ces\`aro operators $C_t$, for $t\in [0,1]$, when they act on the space $H(\mathbb{D})$ of holomorphic functions on the open unit disc $\mathbb{D}$, on the Banach space $H^\infty$ of bounded analytic functio
Externí odkaz:
http://arxiv.org/abs/2402.04003
Publikováno v:
Proceedings of the International Conference on Operator Theory held in Timisoara, Romania, July 2022
We present a detailed survey of recent developments in the study of the finite Hilbert transform and its corresponding inversion problem in rearrangement invariant spaces on $(-1,1)$.
Externí odkaz:
http://arxiv.org/abs/2310.10228
The generalized Ces\`aro operators $C_t$, for $t\in [0,1]$, were first investigated in the 1980's. They act continuously in many classical Banach sequence spaces contained in $\mathbb{C}^{\mathbb{N}_0}$, such as $\ell^p$, $c_0$, $c$, $bv_0$, $bv$ and
Externí odkaz:
http://arxiv.org/abs/2305.04805
Autor:
Gregory Lepeu, Ellen van Maren, Kristina Slabeva, Cecilia Friedrichs-Maeder, Markus Fuchs, Werner J. Z’Graggen, Claudio Pollo, Kaspar A. Schindler, Antoine Adamantidis, Timothée Proix, Maxime O. Baud
Publikováno v:
Nature Communications, Vol 15, Iss 1, Pp 1-16 (2024)
Abstract Epilepsy is defined by the abrupt emergence of harmful seizures, but the nature of these regime shifts remains enigmatic. From the perspective of dynamical systems theory, such critical transitions occur upon inconspicuous perturbations in h
Externí odkaz:
https://doaj.org/article/75b7e627b9e2423bafa4a556cf381c9e
Publikováno v:
J. Math. Anal. App., 507 (2022), 125824
The generalized Ces\`{a}ro operators $\mathcal{C}_t$, for $t\in[0,1)$, introduced in the 1980's by Rhaly, are natural analogues of the classical Ces\`{a}ro averaging operator $\mathcal{C}_1$ and act in various Banach sequence spaces $X\subseteq {\mat
Externí odkaz:
http://arxiv.org/abs/2302.08750
Publikováno v:
J. Math. Anal. Appl., 519 (2023), 126838
We investigate convolution operators in the sequence spaces $d_p$, for $1\le p<\infty$. These spaces, for $p>1$, arise as dual spaces of the \ces sequence spaces $ces_p$ thoroughly investigated by G.~Bennett. A detailed study is also made of the alge
Externí odkaz:
http://arxiv.org/abs/2302.08745
The finite Hilbert transform T is a singular integral operator which maps the Zygmund space $LlogL:=LlogL(-1,1)$ continuously into $L^1:=L^1(-1,1)$. By extending the Parseval and Poincar\'e-Bertrand formulae to this setting, it is possible to establi
Externí odkaz:
http://arxiv.org/abs/2212.08835