Geodesic
Some classical problems in the theory of analytic functions in domains of Parreau–Widom type
Sbornik. Mathematics, Tome 73 (1992) no. 1, pp. 273-288 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

Domains and Riemann surfaces of Parreau–Widom type are considered, along with the extension to these domains of classical results on the Hardy spaces $H^p$ and on representing measures and orthogonal measures (the theorems of the Riesz brothers), and so on. 
@article{SM_1992_73_1_a14,
     author = {M. V. Samokhin},
     title = {Some classical problems in the theory of analytic functions in domains of {Parreau{\textendash}Widom} type},
     journal = {Sbornik. Mathematics},
     pages = {273--288},
     year = {1992},
     volume = {73},
     number = {1},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_1992_73_1_a14/}
}
TY  - JOUR
AU  - M. V. Samokhin
TI  - Some classical problems in the theory of analytic functions in domains of Parreau–Widom type
JO  - Sbornik. Mathematics
PY  - 1992
SP  - 273
EP  - 288
VL  - 73
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/SM_1992_73_1_a14/
LA  - en
ID  - SM_1992_73_1_a14
ER  - 
%0 Journal Article
%A M. V. Samokhin
%T Some classical problems in the theory of analytic functions in domains of Parreau–Widom type
%J Sbornik. Mathematics
%D 1992
%P 273-288
%V 73
%N 1
%U http://geodesic.mathdoc.fr/item/SM_1992_73_1_a14/
%G en
%F SM_1992_73_1_a14
M. V. Samokhin. Some classical problems in the theory of analytic functions in domains of Parreau–Widom type. Sbornik. Mathematics, Tome 73 (1992) no. 1, pp. 273-288. http://geodesic.mathdoc.fr/item/SM_1992_73_1_a14/

[1] Hasumy M., “Hardy classes on infinitely connected Riemann surfaces”, Lect. Notes in Math., 1027 (1983), 280 | MR

[2] Tumarkin G. Ts., Khaivnson S. Ya., “Vzaimnaya ortogonalnost granichnykh znachenii nekotorykh klassov analiticheskikh funktsii v mnogosvyaznykh oblastyakh”, UMN, 14 (1959), 173–180 | MR | Zbl

[3] Neville Ch., “Invariant subspaces of Hardy classes on infinitely connected open surfaces”, Memoirs Amer. Math. Soc., 160 (1975), 151 | MR | Zbl

[4] Earle C., Marden A., “On Poincare series with application to $H_p$ spaces on bordered Riemann surfaces”, Illinois Math. J., 13 (1969), 202–219 | MR | Zbl

[5] Forelly F., “Bounded holomorphic functions and projections”, Illinois Math. J., 10 (1966), 367–380 | MR

[6] Pommerenke Ch., “On the Green's function of Fuchsian groups”, Ann. Sci. Fenn. Series A. 1. Math., 2 (1976), 409–427 | MR | Zbl

[7] Samokhin M. V., “Ob avtomorfnykh analiticheskikh funktsiyakh s zadannym modulem granichnykh znachenii”, Matem. sb., 101 (143) (1976), 189–203 | Zbl

[8] Samokhin M. V., “O nekotorykh voprosakh, svyazannykh s zadachei suschestvovaniya avtomorfnykh analiticheskikh funktsii s zadannym modulem granichnykh znachenii”, Matem. sb., 111 (153) (1980), 557–578 | MR | Zbl

[9] Samokhin M. V., “O nekotorykh granichnykh svoistvakh ogranichennykh analiticheskikh funktsii v printsipe maksimuma modulya v oblastyakh proizvolnoi svyaznosti”, Matem. sb., 135(177) (1988), 497–513 | MR

[10] Gofman K., Banakhovy prostranstva analiticheskikh funktsii, IL, M., 1963

[11] Srinivasan T., “Doubly invariant subspaces”, Pacific J. Math., 14 (1964), 701–707 | MR | Zbl

[12] Srinivasan T., “Simply invariant subspaces and generalized analytic functions”, Proc. Amer. Math. Soc., 16 (1965), 813–818 | DOI | MR | Zbl

[13] Gamelin T., Ravnomernye algebry, Mir, M., 1973 | Zbl

[14] Samokhin M. V., “O merakh ortogonalnykh $H^\infty$”, Problemy matematiki i mekhaniki deformiruemoi sredy, MISI, M., 1979, 114–120

[15] Davie A., Gamelin T., Garnett J., “Distance estimates and pointwise bounded density”, TAMS, 175 (1973), 37–68 | DOI | MR | Zbl

[16] Brelot M., Choquet G., “Espaces et lignes de Green”, Ann. Inst. Fourier (Grenoble), 3 (1951), 199–263 | MR | Zbl