Integral Estimates for the Potential Operator on Differential Forms

Integral Estimates for the Potential Operator on Differential Forms

We develop the local inequalities with new weights for the potential operator applied to differential forms. We also prove the global weighted norm inequalities for the potential operator in averaging domains and explore applications of our new results.

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Veröffentlicht in:International journal of analysis 2013-01, Vol.2013 (2013), p.1-6
Hauptverfasser: Johnson, Casey, Ding, Shusen
Format: Artikel
Sprache:eng
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Zusammenfassung:We develop the local inequalities with new weights for the potential operator applied to differential forms. We also prove the global weighted norm inequalities for the potential operator in averaging domains and explore applications of our new results.
ISSN:2314-498X
2314-4998
DOI:10.1155/2013/108623