Rodrigo Ponce

activity

20132025

most citedOn the boundedness of generalized Cesàro operators on Sobolev spaces

3 citations · 3 across the 3 of their papers we have counts for

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math.FA2023

Determination of the order in Abstract fractional differential equations

Rodrigo Ponce

In this paper we identify, for small $t$ and a fixed $T > 0,$ the order $α > 0$ in the abstract fractional differential equation $\partial^{α} u (t) = A u (t),$ where the time-fractional der…

math.FA2021

Explicit representation of discrete fractional resolvent families in Banach spaces

Jorge Gonzalez-Camus, Rodrigo Ponce

In this paper we introduce a discrete fractional resolvent family ${S_{α, β}^{n}}_{n \in N_{0}}$ generated by a closed linear operator in a Banach space $X$ for a given $α,β>0.…

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…