Weighted Berezin transformations with application to Toeplitz operators of Schatten class on parabolic Bergman spaces

Masaharu Nishio; Noriaki Suzuki; Masahiro Yamada

doi:10.2996/kmj/1257948892

Masaharu Nishio, Noriaki Suzuki, Masahiro Yamada

著者情報

キーワード: parabolic operator of fractional order, Bergman space, Berezin transformation, parabolic similarity, Toeplitz operator, compact operator of Schatten class

ジャーナルフリー

2009 年 32 巻 3 号 p. 501-520

DOI https://doi.org/10.2996/kmj/1257948892

詳細

抄録

In the setting of α-parabolic Bergman spaces, we consider weighted versions of averaging functions and Berezin transformations. Related norm equivalence relations are shown. They are very useful to study our Bergman spaces. As an application, we characterize the Schatten classes of compact Toeplitz operators.

責任著者(Corresponding author)

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