Exact -monotonicity of one class of Banach pairs.
Example of a sequentially incomplete regular inductive limit of Banach spaces.
Existence Of Uniform Bundles.
Extending and lifting some linear topological structures.
Extension of CR functions to «wedge type» domains
Let be a complex manifold, a generic submanifold of , the real underlying manifold to . Let be an open subset of with analytic, a complexification of . We first recall the notion of -tuboid of and of and then give a relation between; we then give the corresponding result in terms of microfunctions at the boundary. We relate the regularity at the boundary for to the extendability of functions on to -tuboids of . Next, if has complex dimension 2, we give results on extension...
Extension of vector-valued holomorphic and harmonic functions
We present a unified approach to the study of extensions of vector-valued holomorphic or harmonic functions based on the existence of weak or weak*-holomorphic or harmonic extensions. Several recent results due to Arendt, Nikolski, Bierstedt, Holtmanns and Grosse-Erdmann are extended. An open problem by Grosse-Erdmann is solved in the negative. Using the extension results we prove existence of Wolff type representations for the duals of certain function spaces.
Extensions of certain real rank zero -algebras
G. Elliott extended the classification theory of -algebras to certain real rank zero inductive limits of subhomogeneous -algebras with one dimensional spectrum. We show that this class of -algebras is not closed under extensions. The relevant obstruction is related to the torsion subgroup of the -group. Perturbation and lifting results are provided for certain subhomogeneous -algebras.
Extensions of dimension groups and AF C*-algebras.
Extensions of Polylinear Mappings
Extensions of stable -algebras.
Extrapolation and sharp norm estimates for classical operators on weighted Lebesgue spaces.
Extrapolation functors on a family of scales generated by the real interpolation method.
Extrapolation of Sobolev imbeddings.
We survey recent results on limiting imbeddings [sic] of Sobolev spaces, particularly, those concerning weakening of assumptions on integrability of derivatives, considering spaces with dominating mixed derivatives and the case of weighted spaces.
Extrapolation theorem on Lp spaces over infinite measure space: An approach p → p0.
Extrapolation theory for the real interpolation method.
We develop an abstract extrapolation theory for the real interpolation method that covers and improves the most recent versions of the celebrated theorems of Yano and Zygmund. As a consequence of our method, we give new endpoint estimates of the embedding Sobolev theorem for an arbitrary domain Omega.
Extrapolatory description for the Lorentz and Marcinkiewicz spaces “close" to .
Extreme Points in Duals of Operator Spaces.
Extreme points in tensor products and a theorem of de Leeuw