By Ali Baklouti, Aziz El Kacimi, Sadok Kallel, Nordine Mir
This ebook contains 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 famed determine within the box of numerous complicated variables, who passed on to the great beyond in 2011. All examine articles have been written via prime specialists, a few of whom are prize winners within the fields of complicated geometry, algebraic geometry and research. The ebook deals a beneficial source for all researchers drawn to contemporary advancements in research and geometry.
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Extra resources for Analysis and Geometry: MIMS-GGTM, Tunis, Tunisia, March 2014. In Honour of Mohammed Salah Baouendi
Confluentes Mathematici 3, 387–411 (2011) 6. H. -Y. Chemin, R. Danchin, Fourier Analysis and Nonlinear Partial Differential Equations, Grundlehren der mathematischen Wissenschaften (Springer, New York, 2011) 7. H. Bahouri, M. Majdoub, N. Masmoudi, On the lack of compactness in the 2D critical Sobolev embedding. J. Funct. Anal. 260, 208–252 (2011) 8. H. Bahouri, C. Fermanian, I. Gallagher, Refined inequalities on graded lie groups. Notes aux Comptes-Rendus de l’Académie des Sciences de Paris, Série 350(350), 393–397 (2012) 9.
Revista Matematica Iberoamericana 1(2), 45–121 (1985) 23. J. Moser, A sharp form of an inequality of N. Trudinger. Indiana Univ. Math. 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 .
20) ϕ(t) dt. 0 The basic idea of Littlewood-Paley theory is contained in two fundamental inequalities known as Bernstein inequalities. The first one says that, for a function whose Fourier transform is supported in an annulus of size λ, differentiate and then take the L p norm amounts to do a dilation of ratio λ on the L p norm. The second one specifies that, for such functions, the passage from the L p norm to the d 1 −1 L q norm, for q ≥ p ≥ 1, costs λ p q , which should be understood as a Sobolev embedding.
Analysis and Geometry: MIMS-GGTM, Tunis, Tunisia, March 2014. In Honour of Mohammed Salah Baouendi by Ali Baklouti, Aziz El Kacimi, Sadok Kallel, Nordine Mir