A Bloch function in all $H^{p}$ classes, but not in BMOA
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- by Douglas Campbell, Joseph Cima and Kenneth Stephenson PDF
- Proc. Amer. Math. Soc. 78 (1980), 229-230 Request permission
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
- Olli Lehto and K. I. Virtanen, Boundary behaviour and normal meromorphic functions, Acta Math. 97 (1957), 47–65. MR 87746, DOI 10.1007/BF02392392
- Ch. Pommerenke, Schlichte Funktionen und analytische Funktionen von beschränkter mittlerer Oszillation, Comment. Math. Helv. 52 (1977), no. 4, 591–602 (German). MR 454017, DOI 10.1007/BF02567392
- Donald Sarason, Function theory on the unit circle, Virginia Polytechnic Institute and State University, Department of Mathematics, Blacksburg, Va., 1978. Notes for lectures given at a Conference at Virginia Polytechnic Institute and State University, Blacksburg, Va., June 19–23, 1978. MR 521811
- Kenneth Stephenson, Weak subordination and stable classes of meromorphic functions, Trans. Amer. Math. Soc. 262 (1980), no. 2, 565–577. MR 586736, DOI 10.1090/S0002-9947-1980-0586736-2
Additional Information
- © Copyright 1980 American Mathematical Society
- 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