ISSN:0024-6107    

DOI:10.1112/jlms/s2-27.3.385

出版商:Oxford University Press    

年代:2016

数据来源: WILEY

摘要:

There is, associated with a del Pezzo quintic surface in [5], a unique pair of planes; the harmonic inversion of which they are axes transposesFand a companion surfaceF′. The planes also serve to determine, whether onFor onF′, a pair of rational curves recently encountered.

ISSN:0024-6107    

DOI:10.1112/jlms/s2-27.3.402

出版商:Oxford University Press    

年代:2016

数据来源: WILEY

ISSN:0024-6107    

DOI:10.1112/jlms/s2-27.3.413

出版商:Oxford University Press    

年代:2016

数据来源: WILEY

摘要:

It is shown here that ifYis a closed subspace of the free topological group FM (X) on akω‐spaceXthen FM {X) has a closed subgroup topologically isomorphic to FM (Y). Thus the problem of determining whether FM (Y) can be embedded in FM (X) is reduced to that of checking if FM (X) contains a closed copy ofY.As an extension of the above result it is shown that ifA1,A2,…,Anare (not necessarily distinct) closed subspaces of FM (X), whereXis akω‐space, then FM {X) has a closed subgroup topologically isomorphic to FM (A1×A2× … ×An).

ISSN:0024-6107    

DOI:10.1112/jlms/s2-27.3.421

出版商:Oxford University Press    

年代:2016

数据来源: WILEY

ISSN:0024-6107    

DOI:10.1112/jlms/s2-27.3.427

出版商:Oxford University Press    

年代:2016

数据来源: WILEY

ISSN:0024-6107    

DOI:10.1112/jlms/s2-27.3.435

出版商:Oxford University Press    

年代:2016

数据来源: WILEY

ISSN:0024-6107    

DOI:10.1112/jlms/s2-27.3.447

出版商:Oxford University Press    

年代:2016

数据来源: WILEY

ISSN:0024-6107    

DOI:10.1112/jlms/s2-27.3.465

出版商:Oxford University Press    

年代:2016

数据来源: WILEY

ISSN:0024-6107    

DOI:10.1112/jlms/s2-27.3.477

出版商:Oxford University Press    

年代:2016

数据来源: WILEY

摘要:

For every analytic function in a domainDin the complete complex plane, bounded in a certain norm, a symmetric generating function for the series of its derivatives is constructed, bounded in another norm. New conditions are deduced for univalence and quasiconformal extendability of a meromorphic function inDin terms of the series of the derivatives of the Schwarzian derivative. In particular an inequality satisfied by Grunsky coefficients of univalent functions in the unit disc is derived.

ISSN:0024-6107    

DOI:10.1112/jlms/s2-27.3.489

出版商:Oxford University Press    

年代:2016

数据来源: WILEY