Norm comparison theorems

Ravi P. Agarwal (), Shusen Ding () and Craig Nolder ()
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Ravi P. Agarwal: Florida Institute of Technology, Department of Mathematical Sciences
Shusen Ding: Seattle University, Department of Mathematics
Craig Nolder: Florida State University, Department of Mathematics

Chapter Chapter 2 in Inequalities for Differential Forms, 2009, pp 57-73 from Springer

Abstract: Abstract 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 [104]. 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

Date: 2009
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DOI: 10.1007/978-0-387-68417-8_2

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