In [19] we described a method for the construction of spaces of distributions of BESOY type (and similar type) with weights, including spaces having negative order of differentiation. The main idea was the decomposition of the Euclidean wspace R, with the aid of special systems of smooth functions.
Lipschitz conjugation and extension of homeomorphisms in lp-spaces
β Scribed by Raymond Y.T Wong
- Publisher
- Elsevier Science
- Year
- 1970
- Tongue
- English
- Weight
- 538 KB
- Volume
- 32
- Category
- Article
- ISSN
- 0022-247X
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π SIMILAR VOLUMES
## Abstract This paper is concerned with continuity and differentiability of NEMYTSKIJ operators acting between spaces of summable abstract functions. In a first part, necessary and sufficient conditions for continuity are collected. Then main emphasis is given to sufficient conditions for differen
A principal result of the paper is that if E is a symmetric Banach function space on the positive half-line with the Fatou property then, for all semifinite von Neumann algebras (M, {), the absolute value mapping is Lipschitz continuous on the associated symmetric operator space E(M, {) with Lipschi