Kernel operators with variable intervals of integration in Lebesgue spaces and applications
Stepanov, Vladimir D and Ushakova, Elena P
(2010)
Kernel operators with variable intervals of integration in Lebesgue spaces and applications.
Mathematical Inequalities Applications.
449–510.
Abstract
New criteria of Lp -Lq boundedness of Hardy-Steklov type operator with both increasing on (0, 8) boundary functions a(x) and b(x) are obtained for 1 < p q < 8 and 0 < q < p < 8, p > 1. This result is applied for two-weighted Lp -Lq characterization of the corresponding geometric Steklov operator and other related problems.
Metadata
Item Type:
Article
Authors/Creators:
Stepanov, Vladimir D
Ushakova, Elena P (eu511@york.ac.uk)
Keywords:
Integral operators, Lebesgue spaces, weights, boundedness
CORE (COnnecting REpositories)
CORE (COnnecting REpositories)