Norm comparison theorems
In the previous chapter, we have discussed various versions of the Hardy–Littlewood inequality for a pair of solutions u and v of the conjugate A-harmonic equation. The purpose of this chapter is to present some norm comparison inequalities for differential forms satisfying the conjugate A-harmonic equations, which have been recently established in . Since the proofs display a general method to obtain L p -estimates, we include most of them in this chapter. Also, we always assume that 1 < p < ∞ and p −1 + q −1 = 1 throughout this chapter.
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