In this paper, we apply De Giorgi-Moser iteration to establish the Hölder regularity of quasiminimizers to generalized Orlicz functional on the Heisenberg group by using the Riesz potential, maximal function, Calderón-Zygmund decomposition, and covering Lemma on the context of the Heisenberg Group. The functional includes the -Laplace functional on the Heisenberg group which has been studied and the variable exponential functional and the double phase growth functional on the Heisenberg group that have not been studied.

中文翻译：

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海森堡群上拟最小化子对广义Orlicz泛函的Hölder正则性

在本文中，我们利用De Giorgi-Moser迭代方法，通过利用Riesz势，极大函数，Calderón-Zygmund分解并在Heisenberg群的上下文中覆盖Lemma，建立了Heimenberg群上广义Orlicz泛函的拟辛化子的Hölder正则性。所述功能包括-拉普拉斯功能在其上已经研究了海森堡组和变量指数函数和对还没有被研究海森堡组双相生长功能。