INTEGRAL TRANSFORMS OF FUNCTIONALS IN L2(C0[0, T])

Authors

Byoung Soo Kim, Yonsei UniversityFollow
David Skough, University of Nebraska-LincolnFollow

Document Type

Article

Date of this Version

2003

Citation

ROCKY MOUNTAIN JOURNAL OF MATHEMATICS Volume 33, Number 4, Winter 2003

Comments

Copyright © 2003 Rocky Mountain Mathematics Consortium

Abstract

In this paper we give a necessary and sufficient condition that a functional F(x) in L₂(C₀[0, T]) has an integral transform F_α,βF(x) which also belongs to L₂(C₀[0, T]).