Alternative criteria for the boundedness of Volterra integral operators is Lebesgue spaces
Stepanov, Vladimir D and Ushakova, Elena
(2009)
Alternative criteria for the boundedness of Volterra integral operators is Lebesgue spaces.
Mathematical Inequalities Applications.
873–889.
Abstract
Three different criteria for Lp -Lq boundedness of Volterra integral operator with locally integrable weight functions w,v and a non-negative kernel k(x,y) satisfying Oinarov’s condition are given. Relations between components of the boundedness constants are described.
Metadata
Item Type:
Article
Authors/Creators:
Stepanov, Vladimir D
Ushakova, Elena (eu511@york.ac.uk)
Keywords:
Integral operators, Lebesgue spaces, weights, boundedness
CORE (COnnecting REpositories)
CORE (COnnecting REpositories)