C. Lizama

activity

20052023

most citedStrong solutions to stochastic Volterra equations

22 citations · 43 across the 11 of their papers we have counts for

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4 papers · 1 filter

math.FA2020

Poisson equation and discrete one-sided Hilbert transform for $(C, α)$ -bounded operators

Luciano Abadias, José E. Galé, Carlos Lizama

We characterize the solutions of the Poisson equation and the domain of its associated one-sided Hilbert transform for Cesàro bounded operators of fractional order. The results obt…

math.FA2015★ 6 cited

Sharp extensions and algebraic properties for solution families of vector-valued differential equations

Luciano Abadias, Carlos Lizama, Pedro J. Miana

In this paper we show the unexpected property that extension from local to global without loss of regularity holds for the solutions of a wide class of vector-valued differential e…

math.FA2015★ 1 cited

Cesáro sums and algebra homomorphisms of bounded operators

Luciano Abadias, Carlos Lizama, Pedro J. Miana +1

Let $X$ be a complex Banach space. The connection between algebra homomorphisms defined on subalgebras of the Banach algebra $ℓ^{1} (N_{0})$ and the algebraic structure of…

math.FA2013★ 3 cited

On the boundedness of generalized Cesàro operators on Sobolev spaces

Carlos Lizama, Pedro J. Miana, Rodrigo Ponce +1

For $β > 0$ and $p \geq 1$ , the generalized Cesàro operator $C_{β} f (t) := \frac{β}{t ^{β}} \int_{0}^{t} (t - s)^{β - 1} f (s) d s$ and its companion operator $C_{β}^{*}$ defined on Sobol…

Poisson equation and discrete one-sided Hilbert transform for (C,α)-bounded operators

Sharp extensions and algebraic properties for solution families of vector-valued differential equations

Cesáro sums and algebra homomorphisms of bounded operators

On the boundedness of generalized Cesàro operators on Sobolev spaces

Poisson equation and discrete one-sided Hilbert transform for $(C, α)$ -bounded operators