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
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Sprache:eng
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container_issue 2013
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container_title International journal of analysis
container_volume 2013
creator Johnson, Casey
Ding, Shusen
description 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.
doi_str_mv 10.1155/2013/108623
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title Integral Estimates for the Potential Operator on Differential Forms
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