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

Fingerprint

Pullback
Chemical analysis
Composition Operator
Hardy Space
Unit Disk
Compactness
High-dimensional

Keywords

  • Bloch space
  • BMOA
  • Pullback property

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

Cite this

Bloch-to-BMOA pullbacks on the disk. / Choe, Boo Rim; Ramey, Wade; Ullrich, David.

In: Proceedings of the American Mathematical Society, Vol. 125, No. 10, 01.12.1997, p. 2987-2996.

Research output: Contribution to journalArticle

Choe, BR, Ramey, W & Ullrich, D 1997, 'Bloch-to-BMOA pullbacks on the disk', Proceedings of the American Mathematical Society, vol. 125, no. 10, pp. 2987-2996.
Choe, Boo Rim ; Ramey, Wade ; Ullrich, David. / Bloch-to-BMOA pullbacks on the disk. In: Proceedings of the American Mathematical Society. 1997 ; Vol. 125, No. 10. pp. 2987-2996.
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