@article{oai:toyama.repo.nii.ac.jp:00014460, author = {Sugiyama, Shun}, journal = {Toyama mathematical journal}, month = {}, note = {We prove that a Riemann domain (G, π) over ℂⁿ is pseudoconvex if and only if for any continuous mapping φ : D̅ ×[0, δ] →G ̿ of the form (π ̿ ◦φ)ⱼ(w, t)=pⱼ(w)+aⱼt (j=1,2, . . . , n), where (G ̿, π ̿) is abstract closure of (G, π), D={w∈ℂ ; |w| < ε}, ε > 0, δ > 0, aⱼ ∈ℂ and pⱼ(w) is a polynomial of w of degree at most 2, with φ(D̅ × (0, δ]) ∪ φ(∂D × {0}) ⊂ G, it follows that φ(D̅ × [0, δ]) ⊂ G., Article, Toyama mathematical journal, vol.38, 2016, Page 101-114}, pages = {101--114}, title = {Polynomials and pseudoconvexity for Riemann domains over ℂⁿ}, volume = {38}, year = {2016} }