Homothetic Invariance of the Space L0(μ)
✍ Scribed by S.A. Alvarez
- Publisher
- Elsevier Science
- Year
- 1993
- Tongue
- English
- Weight
- 673 KB
- Volume
- 179
- Category
- Article
- ISSN
- 0022-247X
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📜 SIMILAR VOLUMES
In this paper we first show that L -averaging domains are invariant under some mappings, such as K-quasi-isometries and ⌽-quasi-isometries. Then we prove Ž . that John domains are L -averaging domains for any satisfying the condi-Ž . tions in the definition of L -averaging domains.
A subspace \(M \subset L\_{u}^{2}(\Delta)=A\_{2}\) is called an e-subspace if (i) \(\operatorname{dim} M0\) and \(N \geqslant 0\) are integers. For \(k=1\) this implies a sharper form of a theorem of H. Hedenmalm. I 199.3 Academic Press, Inc.
To every symmetric bilinear space X, of regular uncountable dimension , Ž . Ž . Ž . Ž Ž . . an invariant ⌫ X, g P P rF F where F F is the club filter can be assigned. We prove that in dimension / the spectrum of ⌫ cannot be determined in 2 ZFC. For this, on the one hand we show that under CH, ⌫ att