Geodesic
HARDY–BLOCH TYPE SPACES AND LACUNARY SERIES ON THE POLYDISK
Glasgow mathematical journal, Tome 49 (2007) no. 2, pp. 345-356

Voir la notice de l'article provenant de la source Cambridge

DOI

We extend the well-known Paley and Paley-Kahane-Khintchine inequalities on lacunary series to the unit polydisk of . Then we apply them to obtain sharp estimates for the mean growth in weighted spaces h(p, α), h(p, log(α)) of Hardy–Bloch type, consisting of functions n-harmonic in the polydisk. These spaces are closely related to the Bloch and mixed norm spaces and naturally arise as images under some fractional operators.
DOI : 10.1017/S001708950700359X
Mots-clés : 32A37, 32A05 
AVETISYAN, K. L. HARDY–BLOCH TYPE SPACES AND LACUNARY SERIES ON THE POLYDISK. Glasgow mathematical journal, Tome 49 (2007) no. 2, pp. 345-356. doi: 10.1017/S001708950700359X
@article{10_1017_S001708950700359X,
     author = {AVETISYAN, K. L.},
     title = {HARDY{\textendash}BLOCH {TYPE} {SPACES} {AND} {LACUNARY} {SERIES} {ON} {THE} {POLYDISK}},
     journal = {Glasgow mathematical journal},
     pages = {345--356},
     year = {2007},
     volume = {49},
     number = {2},
     doi = {10.1017/S001708950700359X},
     url = {http://geodesic.mathdoc.fr/articles/10.1017/S001708950700359X/}
}
TY  - JOUR
AU  - AVETISYAN, K. L.
TI  - HARDY–BLOCH TYPE SPACES AND LACUNARY SERIES ON THE POLYDISK
JO  - Glasgow mathematical journal
PY  - 2007
SP  - 345
EP  - 356
VL  - 49
IS  - 2
UR  - http://geodesic.mathdoc.fr/articles/10.1017/S001708950700359X/
DO  - 10.1017/S001708950700359X
ID  - 10_1017_S001708950700359X
ER  - 
%0 Journal Article
%A AVETISYAN, K. L.
%T HARDY–BLOCH TYPE SPACES AND LACUNARY SERIES ON THE POLYDISK
%J Glasgow mathematical journal
%D 2007
%P 345-356
%V 49
%N 2
%U http://geodesic.mathdoc.fr/articles/10.1017/S001708950700359X/
%R 10.1017/S001708950700359X
%F 10_1017_S001708950700359X

Cité par Sources :