$\mathcal{C}^{\infty}$-hypoellipticity and extension of CR functions
نویسندگان
چکیده
منابع مشابه
CR EXTENSION FOR Lp CR FUNCTIONS ON A QUADRIC SUBMANIFOLD OF Cn
We consider the space, CR(M), consisting of CR functions which also lie in L(M) on a quadric submanifold M of C of codimension at least one. For 1 ≤ p ≤ ∞, we prove that each element in CR(M) extends uniquely to an H function on the interior of the convex hull of M . As part of the proof, we establish a semi-global version of the CR approximation theorem of Baouendi and Treves for submanifolds ...
متن کاملCR Extension for L CR Functions on a Quadric Submanifold of C
We consider the space, CR(M), consisting of CR functions which also lie in L(M) on a quadric submanifold M of C of codimension at least one. For 1 ≤ p ≤ ∞, we prove that each element in CR(M) extends uniquely to an H function on the interior of the convex hull of M . As part of the proof, we establish a semi-global version of the CR approximation theorem of Baouendi and Treves for submanifolds ...
متن کاملa contrastive study of rhetorical functions of citation in iranian and international elt scopus journals
writing an academic article requires the researchers to provide support for their works by learning how to cite the works of others. various studies regarding the analysis of citation in m.a theses have been done, while little work has been done on comparison of citations among elt scopus journal articles, and so the dearth of research in this area demands for further investigation into citatio...
Extension of Cr Maps of Positive Codimension
We study the holomorphic extendability of smooth CR maps between real analytic strictly pseudoconvex hypersurfaces in complex affine spaces of different dimensions.
متن کاملHypoellipticity and Vanishing Theorems
Let −iLT (essentially Lie derivative with respect to T , a smooth nowhere zero real vector field) and P be commuting differential operators, respectively of orders 1 and m ≥ 1, the latter formally normal, both acting on sections of a vector bundle over a closed manifold. It is shown that if P + (−iLT ) m is elliptic then the restriction of −iLT to D ⊂ kerP ⊂ L (D is carefully specified) yields ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE
سال: 2015
ISSN: 2036-2145,0391-173X
DOI: 10.2422/2036-2145.201107_004