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Norm estimates for the maximal operator and Green’s operator. (English) Zbl 1182.47018

The author establishes norm estimates for the composition of maximal operators and the Green operator acting on differential forms, and proves weighted norm inequalities for these compositions. As an application, some estimates related to the Jacobian of mappings are given.

MSC:

47A63 Linear operator inequalities
58A10 Differential forms in global analysis
35J60 Nonlinear elliptic equations
31B05 Harmonic, subharmonic, superharmonic functions in higher dimensions
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