Open AccessIntegral Estimates for the Potential Operator on Differential Forms
Author(s) -
Casey D. Johnson,
Shusen Ding
Publication year - 2013
Publication title -
international journal of analysis
Language(s) - English
Resource type - Journals
eISSN - 2314-4998
pISSN - 2314-498X
DOI - 10.1155/2013/108623
Subject(s) - mathematics , differential operator , operator (biology) , differential (mechanical device) , norm (philosophy) , inequality , algebra over a field , pure mathematics , mathematical analysis , biochemistry , chemistry , repressor , political science , transcription factor , law , engineering , gene , aerospace engineering
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
Accelerating Research
Robert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom
Address
John Eccles HouseRobert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom