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

Il Yong Lee ^[1] ; Hyun Soo Chung ^[1] ; Seung Jung Chang ^[1]
1. [1] Dankook University
  
  Dankook University
  
  Corea del Sur
Localización: Revista de la Unión Matemática Argentina, ISSN 0041-6932, ISSN-e 1669-9637, Vol. 56, Nº. 2, 2015, págs. 67-83
Idioma: inglés
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Resumen
- 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.