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Bounded variation a...
Bounded variation approximation of Lp Dyadic martingales and solutions to elliptic equations
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- Hytönen, Tuomas (författare)
- Helsingin Yliopisto,University of Helsinki
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- Rosén, Andreas, 1974 (författare)
- Gothenburg University,Göteborgs universitet,Institutionen för matematiska vetenskaper,Department of Mathematical Sciences,Chalmers tekniska högskola,Chalmers University of Technology
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(creator_code:org_t)
- 2018
- 2018
- Engelska.
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Ingår i: Journal of the European Mathematical Society. - 1435-9855 .- 1435-9863. ; 20:8, s. 1819-1850
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Abstract
Ämnesord
Stäng
- We prove continuity and surjectivity of the trace map onto Lp(Rn), from a space of functions of locally bounded variation, defined by the Carleson functional. The extension map is constructed through a stopping time argument. This extends earlier work by Varopoulos in the BMO case, related to the Corona Theorem. We also prove LpCarleson approximability results for solutions to elliptic non-smooth divergence form equations, which generalize results in the case p = ∞ by Hofmann, Kenig, Mayboroda and Pipher.
Ämnesord
- NATURVETENSKAP -- Matematik -- Beräkningsmatematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Computational Mathematics (hsv//eng)
- NATURVETENSKAP -- Matematik -- Geometri (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Geometry (hsv//eng)
- NATURVETENSKAP -- Matematik -- Matematisk analys (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Mathematical Analysis (hsv//eng)
Nyckelord
- Approximability
- Bounded variation
- Carleson functional
- Corona Theorem
- Elliptic equation
- Extension map
- Stopping time argument
- Extension map
Publikations- och innehållstyp
- ref (ämneskategori)
- art (ämneskategori)
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