Rodrigo Ponce

activity

20132021

most citedOn the boundedness of generalized Cesàro operators on Sobolev spaces

3 citations · 3 across the 2 of their papers we have counts for

collaborators

3 papers

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.AP2019

Convergence of solutions of discrete semi-linear space-time fractional evolution equations

Harbir Antil, Carlos Lizama, Rodrigo Ponce +1

Let $(- Δ)_{c}^{s}$ be the realization of the fractional Laplace operator on the space of continuous functions $C_{0} (R)$ , and let $(- Δ_{h})^{s}$ denote the discrete fractional Lapla…

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…