Weak solutions to the complex Monge-Ampère equation on hyperconvex domains
We show a very general existence theorem for a complex Monge-Ampère type equation on hyperconvex domains.
Weighted Lp estimates for the Cauchy-Riemann equation on convex domains of finite type.
Weighted Sobolev spaces in complex ellipsoids
Whitney's extension theorem for nonquasianalytic classes of ultradifferentiable functions
Zeros of bounded holomorphic functions in strictly pseudoconvex domains in
Let be a bounded strictly pseudoconvex domain in and let be a positive divisor of with finite area. We prove that there exists a bounded holomorphic function such that is the zero set of . This result has previously been obtained by Berndtsson in the case where is the unit ball in .
ω-pluripolar sets and subextension of ω-plurisubharmonic functions on compact Kähler manifolds
We establish some results on ω-pluripolarity and complete ω-pluripolarity for sets in a compact Kähler manifold X with fundamental form ω. Moreover, we study subextension of ω-psh functions on a hyperconvex domain in X and prove a comparison principle for the class 𝓔(X,ω) recently introduced and investigated by Guedj-Zeriahi.
Интегральные представления дифференциальных форм на многообразиях Коши-Римана и теория CR-функций. II
Нули голоморфных функций конечного порядка и весобые оценки решений -уравнений
О -задаче Неймана для гладких функций и распределений
О стирании особенностей интегрируемых CR-функций
Равномерные оценки решений -уравнения в псевдовыпуклых полиэдрах
Решение с оценками -уравнения в аналитических полиэдрах общего положения