Geodesic
Bloch, Hardy, and BMOA spaces in the ball
Zapiski Nauchnykh Seminarov POMI, Investigations on linear operators and function theory. Part 33, Tome 327 (2005), pp. 74-77 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice du chapitre de livre

We construct a little Bloch function in all Hardy spaces $H^p$, $p<\infty$, on the unit ball of $\mathbb C^n$, but not in BMOA. 
@article{ZNSL_2005_327_a4,
     author = {E. Doubtsov},
     title = {Bloch, {Hardy,} and {BMOA} spaces in the ball},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {74--77},
     year = {2005},
     volume = {327},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2005_327_a4/}
}
TY  - JOUR
AU  - E. Doubtsov
TI  - Bloch, Hardy, and BMOA spaces in the ball
JO  - Zapiski Nauchnykh Seminarov POMI
PY  - 2005
SP  - 74
EP  - 77
VL  - 327
UR  - http://geodesic.mathdoc.fr/item/ZNSL_2005_327_a4/
LA  - ru
ID  - ZNSL_2005_327_a4
ER  - 
%0 Journal Article
%A E. Doubtsov
%T Bloch, Hardy, and BMOA spaces in the ball
%J Zapiski Nauchnykh Seminarov POMI
%D 2005
%P 74-77
%V 327
%U http://geodesic.mathdoc.fr/item/ZNSL_2005_327_a4/
%G ru
%F ZNSL_2005_327_a4
E. Doubtsov. Bloch, Hardy, and BMOA spaces in the ball. Zapiski Nauchnykh Seminarov POMI, Investigations on linear operators and function theory. Part 33, Tome 327 (2005), pp. 74-77. http://geodesic.mathdoc.fr/item/ZNSL_2005_327_a4/

[1] K. M. Dyakonov, “Gladkie funktsii i koinvariantnye prostranstva operatora sdviga”, Algebra i analiz, 4:5 (1992), 117–147 | MR

[2] D. Campbell, J. Cima, K. Stephenson, “A Bloch function in all $\mathrm{H}^p$ classes, but not in BMOA”, Proc. Amer. Math. Soc., 78 (1980), 229–230 | DOI | MR

[3] E. Doubtsov, “Little Bloch functions, symmetric pluriharmonic measures and Zygmund's dichotomy”, J. Funct. Anal., 170 (2000), 286–306 | DOI | MR | Zbl

[4] K. M. Dyakonov, “Weighted Bloch spaces, $\mathrm{H}^p$, and BMOA”, J. London Math. Soc. (2), 65 (2002), 411–417 | DOI | MR | Zbl

[5] F. Holland, J. B. Twomey, “Explicit examples of Bloch functions in every $\mathrm{H}^p$ space, but not in BMOA”, Proc. Amer. Math. Soc., 95 (1985), 227–229 | DOI | MR | Zbl

[6] K. Zhu, Spaces of holomorphic functions in the unit ball, Graduate Texts in Mathematics, 226, Springer-Verlag, New York, 2005 | MR