RT Journal Article
T1 The norm of the Cesàro operator minus the identity and related operators acting on decreasing sequences
A1 Boza, Santiago
A1 Soria de Diego, Francisco Javier
AB Recently, several authors have considered the problem of determining optimal norm inequalities for discrete Hardy-type operators (like Cesàro or Copson). In this work, we obtain sharp bounds for the norms of the difference of the Cesàro operator with either the identity or the shift, when they are restricted to the cone of decreasing sequences in ℓᴾ (which is closely related to the previously mentioned estimates). Finally, we also address the case of weighted inequalities and find an interesting contrast between the norms of these two difference operators.
PB Elsevier
YR 2023
FD 2023
LK https://hdl.handle.net/20.500.14352/105058
UL https://hdl.handle.net/20.500.14352/105058
LA eng
DS Docta Complutense
RD 13 may 2025