Toeplitz operators on Bloch-type spaces and a generalization of Bloch-type spaces
Toeplitz operators on Bloch-type spaces and a generalization of Bloch-type spaces
  • 강시호
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초록

We deal with the boundedness of the n-th derivatives of Bloch-type functions and Toeplitz operators and give a relationshipbetween Bloch-type spaces and ranges of Toeplitz operators. Alsowe prove that the vanishing property of ∥ukαz∥s,α on the boundaryof D implies the compactness of Toeplitz operators and introduce ageneralization of Bloch-type spaces.

키워드

weighted Bergman spacesToeplitz operatorsBloch-type spacescompact operators
제목
Toeplitz operators on Bloch-type spaces and a generalization of Bloch-type spaces
제목 (타언어)
Toeplitz operators on Bloch-type spaces and a generalization of Bloch-type spaces
저자
강시호
DOI
10.14403/jcms.2014.27.3.439
발행일
2014-08
저널명
충청수학회지
27
3
페이지
439 ~ 454