Search: onr:"swepub:oai:gup.ub.gu.se/270711" >
Bounded variation a...
Bounded variation approximation of Lp Dyadic martingales and solutions to elliptic equations
-
- Hytönen, Tuomas (author)
- Helsingin Yliopisto,University of Helsinki
-
- Rosén, Andreas, 1974 (author)
- Gothenburg University,Göteborgs universitet,Institutionen för matematiska vetenskaper,Department of Mathematical Sciences,Chalmers tekniska högskola,Chalmers University of Technology
-
(creator_code:org_t)
- 2018
- 2018
- English.
-
In: Journal of the European Mathematical Society. - 1435-9855 .- 1435-9863. ; 20:8, s. 1819-1850
- Related links:
-
https://gup.ub.gu.se...
-
show more...
-
https://doi.org/10.4...
-
https://research.cha...
-
show less...
Abstract
Subject headings
Close
- 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.
Subject headings
- 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)
Keyword
- Approximability
- Bounded variation
- Carleson functional
- Corona Theorem
- Elliptic equation
- Extension map
- Stopping time argument
- Extension map
Publication and Content Type
- ref (subject category)
- art (subject category)
Find in a library
To the university's database