Abstract:

In this paper generalized α-stable process is introduced. It contains N-parameter d-dimention generalized Brownian Sheet and N-parameter d-dimention α-stable process. The Holder laws for local times increments of this process is shown.

Key words: Ｌｏｃａｌｔｉｍｅｓ, Ｉｎｃｒｅｍｅｎｔｓｏｆｌｏｃａｌｔｉｍｅｓ, Ｈ¨ｏｌｄｅｒｌａｗｓ, αｓｔａｂｌｅｐｒｏｃｅｓｓ, ＧｅｎｅｒａｌｉｚｅｄＢｒｏｗｎｉａｎＳｈｅｅｔ．