We prove two density theorems for quadrature domains in ℂ<sup>n</sup>, n ≥ 2. It is shown that quadrature domains are dense in the class of all product domains of the form D × Ω, where D ℂ C<sup>n-1</sup> is a smoothly bounded domain satisfying Bell's Condition R and Ω ⊂ ℂ is a smoothly bounded domain and also in the class of all smoothly bounded complete Hartogs domains in ℂ<sup>2</sup>
A question of Mazur asks whether for any non-constant elliptic fibration {Er}r∈ℚ, the se...
This is a selection of facts, old and recent, about quadrature domains. The text, written in the for...
This paper attempts to construct a domain D(T-3,3) for the operator T-3,3 in the Hilbert Space H = L...
We prove two density theorems for quadrature domains in , . It is shown that quadrature domains are ...
We prove two density theorems for quadrature domains in , . It is shown that quadrature domains are ...
This note verifies a conjecture of Armitage and Goldstein that annular domains may be characterized ...
This note verifies a conjecture of Armitage and Goldstein that annular domains may be characterized ...
AbstractLet T be a distribution in Rn whose support is compact. A domain Ω in Rn is said to be a qua...
Abstract. We study the possibility of deforming quadrature domains into each other, and also discuss...
We show that in a bounded simply connected planar domain Ω the smooth Sobolev functions Wk,∞(Ω) ∩ C∞...
The ℑ-density topology $T_ℑ$ on ℝ is a refinement of the natural topology. It is a category analogue...
. We continue the study of (p; c)-uniform domains. Special emphasis is on (p; c)-NUD sets. The ambie...
In this paper we prove the sharpness of connectivity bounds established in [15]. The proof depends o...
Abstract. We introduce new classes of domains, i.e., semi-uniform domains and inner semi-uniform dom...
We introduce new classes of domains, i.e., semi-uniform domains and inner emi-uniform domains. Both ...
A question of Mazur asks whether for any non-constant elliptic fibration {Er}r∈ℚ, the se...
This is a selection of facts, old and recent, about quadrature domains. The text, written in the for...
This paper attempts to construct a domain D(T-3,3) for the operator T-3,3 in the Hilbert Space H = L...
We prove two density theorems for quadrature domains in , . It is shown that quadrature domains are ...
We prove two density theorems for quadrature domains in , . It is shown that quadrature domains are ...
This note verifies a conjecture of Armitage and Goldstein that annular domains may be characterized ...
This note verifies a conjecture of Armitage and Goldstein that annular domains may be characterized ...
AbstractLet T be a distribution in Rn whose support is compact. A domain Ω in Rn is said to be a qua...
Abstract. We study the possibility of deforming quadrature domains into each other, and also discuss...
We show that in a bounded simply connected planar domain Ω the smooth Sobolev functions Wk,∞(Ω) ∩ C∞...
The ℑ-density topology $T_ℑ$ on ℝ is a refinement of the natural topology. It is a category analogue...
. We continue the study of (p; c)-uniform domains. Special emphasis is on (p; c)-NUD sets. The ambie...
In this paper we prove the sharpness of connectivity bounds established in [15]. The proof depends o...
Abstract. We introduce new classes of domains, i.e., semi-uniform domains and inner semi-uniform dom...
We introduce new classes of domains, i.e., semi-uniform domains and inner emi-uniform domains. Both ...
A question of Mazur asks whether for any non-constant elliptic fibration {Er}r∈ℚ, the se...
This is a selection of facts, old and recent, about quadrature domains. The text, written in the for...
This paper attempts to construct a domain D(T-3,3) for the operator T-3,3 in the Hilbert Space H = L...
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