Estimates of essential norms of weighted composition operators between Bloch-type spaces

Olli Hyvärinen; Mikael Lindström

doi:10.1016/j.jmaa.2012.03.059

Estimates of essential norms of weighted composition operators between Bloch-type spaces

Olli Hyvärinen, Mikael Lindström^*

^*Korresponderande författare för detta arbete

Matematik

Forskningsoutput: Tidskriftsbidrag › Artikel › Vetenskaplig › Peer review

69 Citeringar (Scopus)

Sammanfattning

We estimate the essential norm of weighted composition operators uC _φ acting on Bloch-type spacesBα in terms of the analytic function u:D→C and the n-th power of the analytic selfmapφ of the open unit discD. We obtain new characterizations for boundedness and compactness of uCφ:Bα→Bβ for all 0<α, β<∞, thus answering an open problem of Manhas and Zhao concerning the case α=1.

Originalspråk	Engelska
Sidor (från-till)	38-44
Antal sidor	7
Tidskrift	Journal of Mathematical Analysis and Applications
Volym	393
Nummer	1
DOI	https://doi.org/10.1016/j.jmaa.2012.03.059
Status	Publicerad - 1 sep. 2012
MoE-publikationstyp	A1 Tidskriftsartikel-refererad

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Estimates of essential norms of weighted composition operators between Bloch-type spaces

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