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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
Autor:
Bonet, José
Continuity, compactness, the spectrum and ergodic properties of Ces\`aro operators are investigated when they act on the space $VH(\mathbb{D})$ of analytic functions with logarithmic growth on the open unit disc $\mathbb{D}$ of the complex plane. The
Externí odkaz:
http://arxiv.org/abs/2409.11371
The behaviour of the generalized Hilbert operator associated with a positive finite Borel measure $\mu$ on $[0,1)$ is investigated when it acts on weighted Banach spaces of holomorphic functions on the unit disc defined by sup-norms and on Korenblum
Externí odkaz:
http://arxiv.org/abs/2407.17646
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:
Anal.Math.Phys. 14, 109 (2024)
Let $\mu$ be a positive finite Borel measure on $[0,1).$ Ces\`aro-type operators $C_{\mu}$ when acting on weighted spaces of holomorphic functions are investigated. In the case of bounded holomorphic functions on the unit disc we prove that $C_\mu$ i
Externí odkaz:
http://arxiv.org/abs/2401.09406
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
Publikováno v:
In Engineering Structures 15 February 2025 325
Autor:
Ponce, Ángel, Erdozain, Maitane, Alday, Josu G., Bonet, José Antonio, Martínez de Aragón, Juan, de-Miguel, Sergio
Publikováno v:
In Forest Ecology and Management 15 January 2025 576