Voir la notice de l'article provenant de la source Math-Net.Ru
@article{IVM_2017_11_a5, author = {E. A. Sevast'yanov}, title = {On zeros of functions rapidly growing in generalized {Bergman} spaces}, journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika}, pages = {46--59}, publisher = {mathdoc}, number = {11}, year = {2017}, language = {ru}, url = {http://geodesic.mathdoc.fr/item/IVM_2017_11_a5/} }
E. A. Sevast'yanov. On zeros of functions rapidly growing in generalized Bergman spaces. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 11 (2017), pp. 46-59. http://geodesic.mathdoc.fr/item/IVM_2017_11_a5/
[1] Stevich S., Li S., “Differentsirovanie superpozitsii kak operator iz prostranstv so smeshannoi normoi v $\alpha$-prostranstvakh Blokha”, Matem. sb., 199:12 (2008), 117–128 | DOI | MR
[2] Horowitz C., “Zeros of functions in the Bergman spaces”, Duke Math. J., 41:4 (1974), 693–710 | DOI | MR | Zbl
[3] Dzhrbashyan M. M., “K probleme predstavimosti analiticheskikh funktsii”, Soobscheniya in-ta matem. i mekh. AN Arm. SSR, 1948, no. 2, 3–40
[4] Korenblum B., “An extension of the Nevanlinna theory”, Acta Math., 135:3–4 (1975), 187–219 | DOI | MR | Zbl
[5] Hedenmalm H., Korenblum B., Zhu K., Theory of Bergman spaces, Graduate Texts in Mathematics, 199, Springer-Verlag, New York, 2000 | DOI | MR | Zbl
[6] Seip K., “On Korenblum`s density condition for the zero sequences of $A^{-\alpha}$”, J. Anal. Math., 67:1 (1995), 307–322 | DOI | MR | Zbl
[7] Luecking Daniel H., “Zero sequences for Bergman spaces”, Complex Variables Theory Appl., 30:4 (1996), 345–362 | DOI | MR | Zbl
[8] Blasco O., Kukuryka A., Nowak M., “Luecking's condition for zeros of analytic functions”, Ann. Univ. Mariae Curie-Sklodowska Sect. A, 58 (2004), 1–15 | MR | Zbl
[9] Seip K., “An extension of the Blaschke condition”, J. London Math. Soc. (2), 51:3 (1995), 545–558 | DOI | MR | Zbl
[10] Bruna J., Massaneda X., “Zero sets of holomorphic functions in the unit ball with slow growth”, J. Anal. Math., 66:1 (1995), 217–252 | DOI | MR | Zbl
[11] Kudasheva E. G., Khabibullin B. N., “Raspredelenie nulei golomorfnykh funktsii umerennogo rosta v edinichnom kruge i predstavlenie v nem meromorfnykh funktsii”, Matem. sb., 200:9 (2009), 95–126 | DOI | Zbl
[12] Dolgoborodov A. A., Sevastyanov E. A., “Ekstremalnye svoistva podposledovatelnostei nulei analiticheskikh funktsii iz prostranstv so smeshannoi normoi”, Matem. sb., 202:8 (2011), 3–20 | DOI | MR | Zbl
[13] Sevastyanov E. A., Dolgoborodov A. A., “Nuli funktsii v vesovykh prostranstvakh so smeshannoi normoi”, Matem. zametki, 94:2 (2013), 279–294 | DOI | Zbl
[14] Biryukov L. N., “Raspredelenie nulei funktsii iz klassov $A_{p,-1,l}$”, Vestn. Moskovsk. un-ta. Matem. Mekhan., 2005, no. 5, 13–20 | MR
[15] Sevastyanov E. A., Dolgoborodov A. A., “O raspredelenii nulei funktsii iz prostranstv Bergmana s vesom”, Matem. zametki, 86:1 (2009), 95–109 | DOI | MR