Remote Access Proceedings of the American Mathematical Society
Green Open Access

Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 
 

 

A Bloch function in all $ H\sp{p}$ classes, but not in BMOA


Authors: Douglas Campbell, Joseph Cima and Kenneth Stephenson
Journal: Proc. Amer. Math. Soc. 78 (1980), 229-230
MSC: Primary 30D45; Secondary 30D55
DOI: https://doi.org/10.1090/S0002-9939-1980-0550501-8
MathSciNet review: 550501
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: All BMOA functions are Bloch and in $ { \cap _{p < \infty }}{H^p}$. A technique is given that creates a Bloch function in all $ {H^p}$ classes but which is not in BMOA.


References [Enhancements On Off] (What's this?)

  • [1] O. Lehto and K. I. Virtanen, Boundary behavior and normal meromorphic functions, Acta Math. 97 (1957), 47-65. MR 0087746 (19:403f)
  • [2] Ch. Pommerenke, Schlichte Funktionen und analytische Funktionen von beschränkter mittlerer Oszillation, Comment. Math. Helv. 52 (1977), 591-602. MR 0454017 (56:12268)
  • [3] Donald Sarason, Function theory on the unit circle, Virginia Polytechnic Institute and State University, Blacksburg, Virginia, 1978. MR 521811 (80d:30035)
  • [4] Kenneth Stephenson, Weak subordination and stable classes of meromorphic functions (preprint). MR 586736 (81m:30029)

Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC: 30D45, 30D55

Retrieve articles in all journals with MSC: 30D45, 30D55


Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1980-0550501-8
Keywords: BMOA, Bloch function, $ {H^p}$ spaces, stable class, normal meromorphic function, universal covering map, inner function
Article copyright: © Copyright 1980 American Mathematical Society

American Mathematical Society