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A dual approach to Burkholder's L p estimates
Author(s) -
Bañuelos Rodrigo,
Gałązka Tomasz,
Osękowski Adam
Publication year - 2021
Publication title -
bulletin of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.396
H-Index - 48
eISSN - 1469-2120
pISSN - 0024-6093
DOI - 10.1112/blms.12487
Subject(s) - mathematics , dual (grammatical number) , value (mathematics) , boundary (topology) , mathematical economics , calculus (dental) , pure mathematics , mathematical analysis , statistics , linguistics , philosophy , medicine , dentistry
The paper contains an alternative proof of the celebrated L p estimates for differentially subordinate martingales established by Burkholder and Wang in the eighties and nineties. The approach links the validity of the estimate to the existence of a lower solution to a novel boundary value problem.
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