Recent Advances in L p -Theory of Homotopy Operator on Differential Forms

الملخص EN

The purpose of this survey paper is to present an up-to-date account of the recent advances made in the study of L p -theory of the homotopy operator applied to differential forms.

Specifically, we will discuss various local and global norm estimates for the homotopy operator T and its compositions with other operators, such as Green’s operator and potential operator.