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On global integrability of BMO functions on general domains

โœ Scribed by Yasuhiro Gotoh

Publisher
Springer-Verlag
Year
1998
Tongue
English
Weight
708 KB
Volume
75
Category
Article
ISSN
0021-7670

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Global higher integrability of Jacobians
Global higher integrability of Jacobians on bounded domains
โœ Jeff Hogan; Chun Li; Alan McIntosh; Kewei Zhang ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 177 KB

We give conditions for a vector-valued function u โˆˆ W 1,n (โ„ฆ, R n ), satisfying det Du(x) 0 on a bounded domain โ„ฆ, which imply that det Du(x) is globally higher integrable on โ„ฆ. We also give conditions for u โˆˆ W 1,n (โ„ฆ, R n ) such that det Du belongs to the Hardy space h 1 z (โ„ฆ) and exhibit some exa