We consider the counterpart in the case of differential forms.
These results can be used to study the integrability of differential forms and to estimate the integrals for differential forms.
For, the vector-valued differential form consists of differential forms, where the partial differentiations are applied to the coefficients of.
In 1992, Iwaniec introduced the -harmonic tensors and the relations between quasiregular mappings and the exterior algebra (or differential forms) in [3].
By the decomposition for differential forms, we have (4.5).
Using the Poincaré-type inequality for differential forms (215).
In complex analysis and algebraic geometry, differential forms of the form df/f are known as forms with logarithmic poles.
As to differential forms, we also have some relations between the solution to -harmonic equation and the solution to obstacle problem of -harmonic equation.
The Poincaré inequality can be deduced to differential forms.
The Sobolev inequality cannot be deduced to differential forms.
