摘要:

A functionfholomorphic in the unit ballBofCnlies in the Hardy spaceHp, 0

ISSN:0024-6107    

DOI:10.1112/jlms/s2-48.1.126

出版商:Oxford University Press    

年代:2016

数据来源: WILEY

ISSN:0024-6107    

DOI:10.1112/jlms/s2-48.1.137

出版商:Oxford University Press    

年代:2016

数据来源: WILEY

摘要:

We investigate the algebraic structure of the spectrum Ω ofL∞(G)for a locally compact groupG. In contrast to the compact and discrete cases, whenGhas neither of these properties, Ω is never a semigroup. For σcompactGwe determine exactly when the product of two elements of Ω. is in Ω, but we present an example which suggests that for general groups the underlying set theory may have an effect. Our principal tool, which has independent interest, is a topological structure theorem for thelb‐compactification of an arbitrary locally compact group.

ISSN:0024-6107    

DOI:10.1112/jlms/s2-48.1.152

出版商:Oxford University Press    

年代:2016

数据来源: WILEY

摘要:

We give necessary and sufficient conditions in order that the Hardy operator is bounded from an arbitrary weighted Banach function space (X, v) intoL∞or weighted BMO. Moreover, we give necessary and sufficient conditions in order that the Hardy operator is compact from (X, v) intoL∞or non‐weighted BMO. Applications to the case of weighted BMO are discussed as well.

ISSN:0024-6107    

DOI:10.1112/jlms/s2-48.1.167

出版商:Oxford University Press    

年代:2016

数据来源: WILEY

摘要:

Symplectic equivalence of Lagrangian projections is too strong to yield a useful classification of projections which commute with a symmetry group action. A weaker equivalence relation, caustic equivalence, is introduced and used to classify the caustics of Lagrangian submanifolds that are invariant under symplectic involutions.

ISSN:0024-6107    

DOI:10.1112/jlms/s2-48.1.178

出版商:Oxford University Press    

年代:2016

数据来源: WILEY

ISSN:0024-6107    

DOI:10.1112/j.1469-7750.1993.tb09880.x

出版商:Oxford University Press    

年代:1993

数据来源: WILEY