By Ali Baklouti, Aziz El Kacimi, Sadok Kallel, Nordine Mir
This publication comprises chosen papers awarded on the MIMS (Mediterranean Institute for the Mathematical Sciences) - GGTM (Geometry and Topology Grouping for the Maghreb) convention, held in reminiscence of Mohammed Salah Baouendi, a most famous determine within the box of a number of advanced variables, who gave up the ghost in 2011. All study articles have been written via top specialists, a few of whom are prize winners within the fields of complicated geometry, algebraic geometry and research. The ebook bargains a invaluable source for all researchers attracted to fresh advancements in research and geometry.
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Additional resources for Analysis and Geometry: MIMS-GGTM, Tunis, Tunisia, March 2014. In Honour of Mohammed Salah Baouendi
Example text
Am. J. Math. 133(6), 1633–1661 (2011) 2. S. Baouendi, P. P. Rothschild, Real Submanifolds in Complex Space and Their Mappings. Princeton Mathematical Series, vol. 47 (Princeton University Press, Princeton, 1999) 3. S. Baouendi, X. Huang, Super-rigidity for holomorphic mappings between hyperquadrics with positive signature. J. Differ. Geom. 69(2), 379–398 (2005) 4. A. J. Suffridge, Boundary behavior of rational proper maps. Duke Math. J. 60(1), 135–138 (1990) 5. P. D’Angelo, Several Complex Variables and the Geometry of Real Hypersurfaces (CRC Press, Boca Raton, 1992) 6.
Consider the map φ from (8d). It is obtained from the homogeneous map H3 (z, w) = (z 3 , √ 3z 2 w, √ 3zw 2 , w 3 ) √ by replacing the middle two components with the single component 3zw. This procedure is the tensor division. The homogeneous map H3 itself is essentially a tensor product. To obtain it, first tensor the identity map with itself on the full space three times. The result maps to C8 . After a unitary change of coordinates, we obtain (z 3 , √ 3z 2 w, √ 3zw 2 , w 3 , 0, 0, 0, 0). Finally H3 is obtained by dropping the zeroes.
J. 20, 1077–1092 (1971) 24. -M. -D. Ren, Applications of Orlicz spaces, Monographs and Textbooks in Pure and Applied Mathematics, vol. 250 (Marcel Dekker Inc, New York, 2002) 25. B. Ruf, A sharp Trudinger-Moser type inequality for unbounded domains in R2 . J Funct. Anal. 219, 340–367 (2005) 58 H. Bahouri 26. B. Ruf, F. Sani, Sharp Adams-type inequalities in Rn . Trans. Am. Math. Soc. 365, 645–670 (2013) 27. I. Schindler, K. Tintarev, An abstract version of the concentration compactness principle.