Bloch-to-BMOA pullbacks on the disk

Boo Rim Choe, Wade Ramey, David Ullrich

Research output: Contribution to journalArticle

10 Citations (Scopus)

Abstract

For a given holomorphic self map p of the unit disk, we consider the Bloch-to-BMOA composition property (pullback property) of Our results are (1) cannot have the pullback property if touches the boundary too smoothly, (2) while has the pullback property if touches the boundary rather sharply. One of these results yields an interesting consequence completely contrary to a higher dimensional result which has been known. These results resemble known results concerning the compactness of composition operators on the Hardy spaces. Some remarks in that direction are included.

Original languageEnglish
Pages (from-to)2987-2996
Number of pages10
JournalProceedings of the American Mathematical Society
Volume125
Issue number10
Publication statusPublished - 1997 Dec 1

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Keywords

  • Bloch space
  • BMOA
  • Pullback property

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

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