Geodesic
On division problem in nonradial weighted spaces of entire functions
Vladikavkazskij matematičeskij žurnal, Tome 15 (2013) no. 3, pp. 7-18

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We study the inductive weighted space $H_{u,v}^{1,\infty}$ of entire functions defined by a sequence of nonradial two-part weights $\{q_nu(|z|)+nv(|\operatorname{Im}z|)\}_{n=1}^\infty$, $0$. Under an additional assumption on the function $v$, we establish the division theorem in $H_{u,v}^{1,\infty}$. We also obtain some results about sweepping out the masses of the subharmonic function $v(|\operatorname{Im}z|)$. 
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     author = {D. A. Abanina and A. V. Kuzminova},
     title = {On division problem in nonradial weighted spaces of entire functions},
     journal = {Vladikavkazskij matemati\v{c}eskij \v{z}urnal},
     pages = {7--18},
     publisher = {mathdoc},
     volume = {15},
     number = {3},
     year = {2013},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VMJ_2013_15_3_a1/}
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D. A. Abanina; A. V. Kuzminova. On division problem in nonradial weighted spaces of entire functions. Vladikavkazskij matematičeskij žurnal, Tome 15 (2013) no. 3, pp. 7-18. http://geodesic.mathdoc.fr/item/VMJ_2013_15_3_a1/