Positive Schatten-Herz class Toeplitz operators on the ball

  • Choe, Boo Rim
  • Koo, Hyungwoon
  • Lee, Young Joo
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초록

On the harmonic Bergman space of the ball, we give characterizations for an arbitrary positive Toeplitz operator to be a Schatten-Herz class operator in terms of averaging functions and Berezin transforms.

키워드

Toeplitz operatorHarmonic Bergman spaceSchatten classSchatten-Herz class
제목
Positive Schatten-Herz class Toeplitz operators on the ball
저자
Choe, Boo RimKoo, HyungwoonLee, Young Joo
발행일
2011
유형
Article
저널명
New York Journal of Mathematics
17A
페이지
113 ~ 125