top
Let P be a real-valued and weighted homogeneous plurisubharmonic polynomial in and let D denote the “model domain” z ∈ ℂⁿ | r(z):= Re z₁ + P(z’) < 0. We prove a lower estimate on the Bergman distance of D if P is assumed to be strongly plurisubharmonic away from the coordinate axes.
Gregor Herbort. "On the Bergman distance on model domains in ℂⁿ." Annales Polonici Mathematici 116.1 (2016): 1-36. <http://eudml.org/doc/281011>.
@article{GregorHerbort2016, abstract = {Let P be a real-valued and weighted homogeneous plurisubharmonic polynomial in $ℂ^\{n-1\}$ and let D denote the “model domain” z ∈ ℂⁿ | r(z):= Re z₁ + P(z’) < 0. We prove a lower estimate on the Bergman distance of D if P is assumed to be strongly plurisubharmonic away from the coordinate axes.}, author = {Gregor Herbort}, journal = {Annales Polonici Mathematici}, keywords = {Bergman distance; plurisubharmonic weights; weighted homogeneous model domains}, language = {eng}, number = {1}, pages = {1-36}, title = {On the Bergman distance on model domains in ℂⁿ}, url = {http://eudml.org/doc/281011}, volume = {116}, year = {2016}, }
TY - JOUR AU - Gregor Herbort TI - On the Bergman distance on model domains in ℂⁿ JO - Annales Polonici Mathematici PY - 2016 VL - 116 IS - 1 SP - 1 EP - 36 AB - Let P be a real-valued and weighted homogeneous plurisubharmonic polynomial in $ℂ^{n-1}$ and let D denote the “model domain” z ∈ ℂⁿ | r(z):= Re z₁ + P(z’) < 0. We prove a lower estimate on the Bergman distance of D if P is assumed to be strongly plurisubharmonic away from the coordinate axes. LA - eng KW - Bergman distance; plurisubharmonic weights; weighted homogeneous model domains UR - http://eudml.org/doc/281011 ER -