%0 Journal Article 
%A Lizama, Carlos
%A Murillo Arcila, Marina
%T Discrete maximal regularity for Volterra equations and nonlocal time-stepping schemes
%D 2020
%@ 1553-5231

%U http://hdl.handle.net/10498/35372
%X In this paper we investigate conditions for maximal regularity of
Volterra equations de ned on the Lebesgue space of sequences $l_p(Z)$ by using
Bl unck's theorem on the equivalence between operator-valued $l_p$-multipliers
and the notion of R-boundedness. We show sufficient conditions for maximal
$l_p-l_q$ regularity of solutions of such problems solely in terms of the data. We
also explain the signi cance of kernel sequences in the theory of viscoelasticity,
establishing a new and surprising connection with schemes of approximation
of fractional models.
%K Maximal regularity
%K time-stepping schemes
%K discrete Volterra equations
%K nonlocal operators
%~ Universidad de Cádiz