2 papers
math.FA2017
Universal function for a weighted space L^1_u[0,1]
Artsrun Sargsyan, Martin Grigoryan
It is shown that there exist such a function g from L^1[0,1] and a weight function 0<u(x)<=1 that g is universal for the weighted space L^1_u[0,1] with respect to signs of its Four…
math.CA2015
On the universal function for weighted spaces L^p_u[0,1], p>=1
Martin Grigoryan, Tigran Grigoryan, Artsrun Sargsyan
In the paper it is shown that there exist a function g from L1[0,1] and a weight function 0<u(x)<=1, so that g is universal for each classes L^p_u[0,1], p>= 1 with respect to signs…