DOIAbstract
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
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
We provide geometric conditions on the set of boundary points of infinite type of a smooth bounded p...
We construct a new solution operator for on certain piecewise smooth q -convex intersections. L p es...
Let $\Omega$ be a bounded q-pseudoconvex domain in $\mathbb{C}^n$, $n \geq 2$ and let $1 \leq q \le...
AbstractThe ∂-Neumann operator on (0,q)-forms (1⩽q⩽n) on a bounded convex domainΩin Cnis compact if ...
For smooth bounded pseudoconvex domains in Cn, we provide geometric conditions on (the points of inf...
In this dissertation we are concerned with a problem which asks whether the compactness of the ∂ ̅-N...
AbstractIn this paper we show that noncompactness of the ∂̄-Neumann operator on a smooth, bounded, p...
AbstractLet X be a Hermitian complex space of pure dimension n. We show that the ∂¯-Neumann operator...
Let $\Omega$ be a bounded convex domain in $\mathbb{C}^{n}$. We show that if $\varphi \in C^{1}(\ove...
Let Ω be a C4- smooth bounded pseudoconvex domain in C2. We show that if the - ¯- Neumann opera...
This dissertation consists of two parts. In the first part we show that for 1 k 1, a complex manifol...
AbstractIn this paper we discuss compactness of the canonical solution operator to ∂¯ on weigthed L2...
We treat the boundary problem for complex varieties with isolated singularities, of complex dimensi...
On a smooth, bounded pseudoconvex domain $\Omega$ in $\mathbb{C}^n$, to verify that Catlin's Propert...
AbstractWe derive conditions for compactness of Hankel operators Hf:A2(Ω)→L2(Ω) (Hf(g):=(I−P)(f¯g)) ...
We provide geometric conditions on the set of boundary points of infinite type of a smooth bounded p...
We construct a new solution operator for on certain piecewise smooth q -convex intersections. L p es...
Let $\Omega$ be a bounded q-pseudoconvex domain in $\mathbb{C}^n$, $n \geq 2$ and let $1 \leq q \le...
AbstractThe ∂-Neumann operator on (0,q)-forms (1⩽q⩽n) on a bounded convex domainΩin Cnis compact if ...
For smooth bounded pseudoconvex domains in Cn, we provide geometric conditions on (the points of inf...
In this dissertation we are concerned with a problem which asks whether the compactness of the ∂ ̅-N...
AbstractIn this paper we show that noncompactness of the ∂̄-Neumann operator on a smooth, bounded, p...
AbstractLet X be a Hermitian complex space of pure dimension n. We show that the ∂¯-Neumann operator...
Let $\Omega$ be a bounded convex domain in $\mathbb{C}^{n}$. We show that if $\varphi \in C^{1}(\ove...
Let Ω be a C4- smooth bounded pseudoconvex domain in C2. We show that if the - ¯- Neumann opera...
This dissertation consists of two parts. In the first part we show that for 1 k 1, a complex manifol...
AbstractIn this paper we discuss compactness of the canonical solution operator to ∂¯ on weigthed L2...
We treat the boundary problem for complex varieties with isolated singularities, of complex dimensi...
On a smooth, bounded pseudoconvex domain $\Omega$ in $\mathbb{C}^n$, to verify that Catlin's Propert...
AbstractWe derive conditions for compactness of Hankel operators Hf:A2(Ω)→L2(Ω) (Hf(g):=(I−P)(f¯g)) ...
We provide geometric conditions on the set of boundary points of infinite type of a smooth bounded p...
We construct a new solution operator for on certain piecewise smooth q -convex intersections. L p es...
Let $\Omega$ be a bounded q-pseudoconvex domain in $\mathbb{C}^n$, $n \geq 2$ and let $1 \leq q \le...
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