RT Journal Article
T1 Averaging operators on decreasing or positive functions: Equivalence and optimal bounds
A1 Boza, Santiago
A1 Soria de Diego, Francisco Javier
AB We study the optimal bounds for the Hardy operator S minus the identity, as well as S and its dual operator S∗, on the full range 1 ≤ p ≤ ∞, for the cases of decreasing, positive or general functions (in fact, these two kinds of inequalities are equivalent for the appropriate cone of functions). For 1 < p ≤ 2, we prove that all these estimates are the same, but for 2 < p < ∞, they exhibit a completely different behavior.
PB Elsevier
SN 0021-9045
YR 2019
FD 2019
LK https://hdl.handle.net/20.500.14352/93658
UL https://hdl.handle.net/20.500.14352/93658
LA eng
NO S. Boza, J. Soria, Averaging operators on decreasing or positive functions: Equivalence and optimal bounds, Journal of Approximation Theory 237 (2019) 135–152. https://doi.org/10.1016/j.jat.2018.09.001.
NO Ministerio de Economía, Comercio y Empresa (España)
NO Generalitat de Catalunya
DS Docta Complutense
RD 26 dic 2025