Geodesic
Integral reverse estimates for logarithmic Bloch spaces in the ball
Zapiski Nauchnykh Seminarov POMI, Investigations on linear operators and function theory. Part 41, Tome 416 (2013), pp. 124-135 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice du chapitre de livre

Integral reverse estimates for logarithmic Bloch spaces in the unit ball of $\mathbb C^m$ are obtained. As an application, hyperbolic gradients of inner mappings are studied. 
@article{ZNSL_2013_416_a7,
     author = {A. N. Petrov},
     title = {Integral reverse estimates for logarithmic {Bloch} spaces in the ball},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {124--135},
     year = {2013},
     volume = {416},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2013_416_a7/}
}
TY  - JOUR
AU  - A. N. Petrov
TI  - Integral reverse estimates for logarithmic Bloch spaces in the ball
JO  - Zapiski Nauchnykh Seminarov POMI
PY  - 2013
SP  - 124
EP  - 135
VL  - 416
UR  - http://geodesic.mathdoc.fr/item/ZNSL_2013_416_a7/
LA  - ru
ID  - ZNSL_2013_416_a7
ER  - 
%0 Journal Article
%A A. N. Petrov
%T Integral reverse estimates for logarithmic Bloch spaces in the ball
%J Zapiski Nauchnykh Seminarov POMI
%D 2013
%P 124-135
%V 416
%U http://geodesic.mathdoc.fr/item/ZNSL_2013_416_a7/
%G ru
%F ZNSL_2013_416_a7
A. N. Petrov. Integral reverse estimates for logarithmic Bloch spaces in the ball. Zapiski Nauchnykh Seminarov POMI, Investigations on linear operators and function theory. Part 41, Tome 416 (2013), pp. 124-135. http://geodesic.mathdoc.fr/item/ZNSL_2013_416_a7/

[1] A. B. Aleksandrov, “Sobstvennye golomorfnye otobrazheniya iz shara v polidisk”, DAN SSSR, 286:1 (1986), 11–15 | MR | Zbl

[2] A. B. Aleksandrov, J. M. Anderson, A. Nicolau, “Inner functions, Bloch spaces, and symmetric measures”, Proc. London Math. Soc. (3), 79:2 (1999), 318–352 | DOI | MR | Zbl

[3] E. Doubtsov, “Characterizations of the hyperbolic Nevanlinna class in the ball”, Complex Var. Elliptic Eq., 54:2 (2009), 119–124 | DOI | MR | Zbl

[4] E. Doubtsov, “Bloch-to-BMOA compositions on complex balls”, Proc. Amer. Math. Soc., 140:12 (2012), 4217–4225 | DOI | MR | Zbl

[5] E. Doubtsov, “Inner mappings, hyperbolic gradients, and composition operators”, Integral Equations Operator Theory, 73:4 (2012), 537–551 | DOI | MR | Zbl

[6] M. J. González, A. Nicolau, “Multiplicative square functions”, Rev. Mat. Iberoamericana, 20:3 (2004), 673–736 | DOI | MR | Zbl

[7] M. Pavlović, “Lacunary series in weighted spaces of analytic functions”, Arch. Math. (Basel), 97:5 (2011), 467–473 | DOI | MR | Zbl

[8] A. N. Petrov, “Reverse estimates in logarithmic Bloch spaces”, Arch. Math. (Basel), 100 (2013), 551–560 | DOI | MR | Zbl

[9] W. Smith, “Inner functions in the hyperbolic little Bloch class”, Michigan Math. J., 45:1 (1998), 103–114 | DOI | MR | Zbl

[10] X. Tang, “Extended Cesàro ooerators between Bloch-type spaces in the unit ball of $\mathbb C^n$”, J. Math. Anal. Appl., 326:2 (2007), 1199–1211 | DOI | MR | Zbl

[11] A. Zigmund, Trigonometricheskie ryady, v. 1, Mir, M., 1965 | MR