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Integral estimates for the potential operator on differential forms. (English) Zbl 1285.47056

The authors prove local and global weighted estimates for the potential operator applied to a class of differential forms, which includes the solutions of the \(A\)-harmonic equation, and for a new class of weights.

MSC:

47G40 Potential operators
47B34 Kernel operators
31B10 Integral representations, integral operators, integral equations methods in higher dimensions
26D10 Inequalities involving derivatives and differential and integral operators
58A10 Differential forms in global analysis
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References:

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