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A class of Hausdorff-Berezin operators on the unit disc
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Orientador(es)
Resumo(s)
We introduce and study a class of Hausdorff-Berezin operators on the unit disc based on Haar measure (that is, the Mobius invariant area measure). We discuss certain algebraic properties of these operators and obtain boundedness conditions for them. We also reformulate the obtained results in terms of ordinary area measure.
Descrição
Palavras-chave
Hardy-spaces Boundedness Domains Hausdorff operators Berezin transform Bergman kernel Invariant kernel Haar measure Mobius group
Contexto Educativo
Citação
Editora
Springer