Resumen de A generalized version of Fubini's theorem on C a , b [ 0 , T ] and applications

Il Yong Lee, Hyun Soo Chung, Seung Jung Chang

• We define a transform with respect to the Gaussian process, the ⋄-product and the first variation on function space. We then establish a generalized Fubini theorem rather than the Fubini theorem introduced in H. S. Chung, J. G. Choi and S. J. Chang, Banach J. Math. Anal. 7 (2013), 173-185. Also, we examine the various relationships of the transform with respect to the Gaussian process, the ⋄-product and the first variation for functionals on function space.