Abstract
In [2] and [3], we discuss the existence and the $(a,t)$-joint continuity of the distribution-valued additive functional $A_T(a:t,\omega)=\int^t_0 T(X_s-a)$ for $T \in H^\beta_p$ except for the case of the $(a,t)$-joint continuity with $p=1$. In this paper, we discuss the $(a,t)$-joint continuity of the distribution-valued additive functional $A_T(a:t,\omega)$ for $T \in H^\beta_1$.
Citation
Tadashi NAKAJIMA. "The Continuity of Distribution-valued Additive Functionals for $H_1^\beta$." Tokyo J. Math. 33 (1) 183 - 194, June 2010. https://doi.org/10.3836/tjm/1279719586
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