We study continuity properties of the boundary values of the resolvent of perturbations of certain pseudo-differential operators by using recent versions of the conjugate operator method. Our results are optimal on the HolderαZygmund scale. In particular, three physical situations are included, nam
Factorization theorems for some scales of operator ideals
β Scribed by Albrecht Pietsch
- Publisher
- John Wiley and Sons
- Year
- 1980
- Tongue
- English
- Weight
- 216 KB
- Volume
- 97
- Category
- Article
- ISSN
- 0025-584X
No coin nor oath required. For personal study only.
β¦ Synopsis
In this paper we shall use the terminology introduced in (7). In particular, 2(E,P) denotes the set of all (bounded linear) operators from the BANACH space E into the BANACH space F.
π SIMILAR VOLUMES
## Abstract In [5], it is proved that a bounded linear operator __u__, from a Banach space __Y__ into an __L~p~__(__S, Ξ½__) factors through __L__~__p__1~ (__S, Ξ½__) for some __p__~1~ > 1, if __Y__\* is of finite cotype; (__S, Ξ½__) is a probability space for __p__ = 0, and any measure space for 0 <
The aim of this paper is to unify interchange theorems and extend them to hypergraphs. To this end sufficient conditions for equality of the l 1 -distance between equivalence classes and the l 1 -distance between corresponding order-type functions are provided. The generality of this result is demon
Using Bourgain's factorization theorem, we characterize the subspaces of H p , 1 p , that coincide with the kernels of Toeplitz operators. This is related to (but entirely independent of) earlier work of E. Hayashi. One consequence of our characterization is that, for some inner functions %, the cla