AbstractThe ∂-Neumann operator on (0,q)-forms (1⩽q⩽n) on a bounded convex domainΩin Cnis compact if and only if the boundary ofΩcontains no complex analytic (equivalently: affine) variety of dimension greater than or equal toq
AbstractIn this paper we show that noncompactness of the ∂̄-Neumann operator on a smooth, bounded, p...
We consider a C∞ boundary bΩ⊂Cn which is q-convex in the sense that its Levi-form has positive trace...
AbstractLet (M,g) be a C∞ compact Riemannian manifold with strictly convex boundary. Let f∈C∞(T★M×R)...
AbstractThe ∂-Neumann operator on (0,q)-forms (1⩽q⩽n) on a bounded convex domainΩin Cnis compact if ...
AbstractLet X be a Hermitian complex space of pure dimension n. We show that the ∂¯-Neumann operator...
This dissertation consists of two parts. In the first part we show that for 1 k 1, a complex manifol...
We provide geometric conditions on the set of boundary points of infinite type of a smooth bounded p...
For smooth bounded pseudoconvex domains in Cn, we provide geometric conditions on (the points of inf...
Let Ω be a C4- smooth bounded pseudoconvex domain in C2. We show that if the - ¯- Neumann opera...
AbstractWe derive conditions for compactness of Hankel operators Hf:A2(Ω)→L2(Ω) (Hf(g):=(I−P)(f¯g)) ...
We consider a von Neumann algebra $M$ acting on a Hilbert space $H$. For a positive operator $X$ in...
AbstractNonlinear Neumann problems on riemannian manifolds. Let (M, g) be a C∞ compact riemannian ma...
Analytical problems are not solvable on a general domain in Cd when d ≥ 2. It has been shown that in...
ABSTRACT: Suppose ` ∞ ↪ → X. We construct examples of bounded sets M ⊂ X, such tha
Abstract. Let Ω be a piecewise smooth bounded convex Reinhardt domain in C2. Assume that the symbols...
AbstractIn this paper we show that noncompactness of the ∂̄-Neumann operator on a smooth, bounded, p...
We consider a C∞ boundary bΩ⊂Cn which is q-convex in the sense that its Levi-form has positive trace...
AbstractLet (M,g) be a C∞ compact Riemannian manifold with strictly convex boundary. Let f∈C∞(T★M×R)...
AbstractThe ∂-Neumann operator on (0,q)-forms (1⩽q⩽n) on a bounded convex domainΩin Cnis compact if ...
AbstractLet X be a Hermitian complex space of pure dimension n. We show that the ∂¯-Neumann operator...
This dissertation consists of two parts. In the first part we show that for 1 k 1, a complex manifol...
We provide geometric conditions on the set of boundary points of infinite type of a smooth bounded p...
For smooth bounded pseudoconvex domains in Cn, we provide geometric conditions on (the points of inf...
Let Ω be a C4- smooth bounded pseudoconvex domain in C2. We show that if the - ¯- Neumann opera...
AbstractWe derive conditions for compactness of Hankel operators Hf:A2(Ω)→L2(Ω) (Hf(g):=(I−P)(f¯g)) ...
We consider a von Neumann algebra $M$ acting on a Hilbert space $H$. For a positive operator $X$ in...
AbstractNonlinear Neumann problems on riemannian manifolds. Let (M, g) be a C∞ compact riemannian ma...
Analytical problems are not solvable on a general domain in Cd when d ≥ 2. It has been shown that in...
ABSTRACT: Suppose ` ∞ ↪ → X. We construct examples of bounded sets M ⊂ X, such tha
Abstract. Let Ω be a piecewise smooth bounded convex Reinhardt domain in C2. Assume that the symbols...
AbstractIn this paper we show that noncompactness of the ∂̄-Neumann operator on a smooth, bounded, p...
We consider a C∞ boundary bΩ⊂Cn which is q-convex in the sense that its Levi-form has positive trace...
AbstractLet (M,g) be a C∞ compact Riemannian manifold with strictly convex boundary. Let f∈C∞(T★M×R)...