Data publikacji: 24.11.2017
Licencja:
CC BY-NC-ND
Redakcja
Redaktor naczelny Sławomir Kołodziej
Universitatis Iagellonicae Acta Mathematica, Tom 54, 2017, s. 7-13
https://doi.org/10.4467/20843828AM.17.001.7077
In this note we give sufficient conditions on a measure µ, defined on a unbounded strictly hyperconvex domain in Cn, to be the Monge-Ampère measure of some plurisubharmonic function. These generalize recent results by Lê et al.
Universitatis Iagellonicae Acta Mathematica, Tom 54, 2017, s. 15-32
https://doi.org/10.4467/20843828AM.17.002.7078The main purpose of this paper is to study the growth of solutions of the linear differential-difference equation L(z, f)= n ∑ i=0 m ∑ j=0 Aij (z) f(j)(z + ci)=0, where Aij (z) (i = 0, ททท, n; j = 0, ททท, m) are entire or meromorphic functions of finite logarithmic order and ci (0, ททท, n) are distinct complex numbers. We extend some precedent results due to Wu and Zheng and others.
Universitatis Iagellonicae Acta Mathematica, Tom 54, 2017, s. 33-41
https://doi.org/10.4467/20843828AM.17.003.7079Universitatis Iagellonicae Acta Mathematica, Tom 54, 2017, s. 43-52
https://doi.org/10.4467/20843828AM.17.004.7080Universitatis Iagellonicae Acta Mathematica, Tom 54, 2017, s. 53-78
https://doi.org/10.4467/20843828AM.17.005.7081Słowa kluczowe: Complex Monge-Amp±re operator, plurisubharmonic function, Dirichlet problem, unbounded hyperconvex domain., Linear differential-difference equation, meromorphic function, logarithmic order, logarithmic type, logarithmic lower order, logarithmic lower type., Nullstellensatz, c-holomorphic functions, Irreducible element, square-free element, factorization, Jacobian Conjecture