Azzeddine El Baraka
In this paper we show that the scale of Sobolev-Campanato spaces contain the general BMO-Triebel-Lizorkin spaces as special cases, so that the conjecture by Triebel regarding estimates for solutions of scalar regular elliptic boundary value problems in spaces (solved in the case in a previous work) is completely solved now. Also we prove that the method used for the scalar case works for systems, and we give a priori estimates near the boundary for solutions of regular elliptic systems in the general spaces containing BMO, , and Morrey-Campanato spaces as special cases. This result extends the work by the author in the scalar case.
Submitted March 2, 2006. Published August 31, 2006.
Math Subject Classifications: 35J45, 35J55.
Key Words: Elliptic systems; BMO-Triebel-Lizorkin spaces; Campanato spaces.
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| Azzeddine El Baraka |
University Sidi Mohamed Ben Abdellah
FST Fez, BP 2202, Route Immouzer
30000 Fez, Morocco
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