Geodesic
On zeros of functions rapidly growing in generalized Bergman spaces
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 11 (2017), pp. 46-59

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The zero-sets of rapidly growing functions which belong to the Bergman spaces and more general spaces of analytic functions with mixed norms have no clear-cut description. A range of exact necessary conditions on the moduli of zeros of such functions presented in the paper show the impossibility to obtain such a description in more or less clear geometrical terms.
Keywords: Bergman spaces, zeros of analytic functions. 
@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/}
}
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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/