We introduce new classes of domains, i.e., semi-uniform domains and inner emi-uniform domains. Both of them are intermediate between the class of John domains nd the class of uniform domains. Under the capacity density condition, we show that the armonic measure of a John domain D satisfies certain doubling conditions if and only if is a semi-uniform domain or an inner semi-uniform domain
We derive a decomposition result for regular, two-dimensional domains into John domains with uniform...
A domain D in euclidean n-space $R\sp n$ is said to be a John Domain if there exist a point $x\sb0$ ...
We derive a decomposition result for regular, two-dimensional domains into John domains with uniform...
Abstract. We introduce new classes of domains, i.e., semi-uniform domains and inner semi-uniform dom...
We obtain improved fractional Poincaré inequalities in John domains of a metric space (X, d) endowed...
Abstract. We give necessary and sufficient conditions in terms of potential theoretic properties for...
This note verifies a conjecture of Armitage and Goldstein that annular domains may be characterized ...
We characterize the class of uniform domains in terms of capacity. As a byproduct of this investigat...
This note verifies a conjecture of Armitage and Goldstein that annular domains may be characterized ...
We define the John constant y(D) of a domain D cz C to be sup (a \u3e 1:1 \u3c /\u27(z)l ^a\u3e n...
Abstract. We characterize the class of uniform domains in terms of capacity. As a byprod-uct of this...
AbstractWe study for two metrics j and d whether a plane domain D⊊︀C for which there exists a consta...
Ever since the pioneering works of Carleson [8] and Hunt-Wheeden [10, 11] for Lipschitz domains, a l...
The concept of an H-chain set in a doubling spaceX, which generalizes that of a Hölder domain in Euc...
The concept of an H-chain set in a doubling spaceX, which generalizes that of a Hölder domain in Euc...
We derive a decomposition result for regular, two-dimensional domains into John domains with uniform...
A domain D in euclidean n-space $R\sp n$ is said to be a John Domain if there exist a point $x\sb0$ ...
We derive a decomposition result for regular, two-dimensional domains into John domains with uniform...
Abstract. We introduce new classes of domains, i.e., semi-uniform domains and inner semi-uniform dom...
We obtain improved fractional Poincaré inequalities in John domains of a metric space (X, d) endowed...
Abstract. We give necessary and sufficient conditions in terms of potential theoretic properties for...
This note verifies a conjecture of Armitage and Goldstein that annular domains may be characterized ...
We characterize the class of uniform domains in terms of capacity. As a byproduct of this investigat...
This note verifies a conjecture of Armitage and Goldstein that annular domains may be characterized ...
We define the John constant y(D) of a domain D cz C to be sup (a \u3e 1:1 \u3c /\u27(z)l ^a\u3e n...
Abstract. We characterize the class of uniform domains in terms of capacity. As a byprod-uct of this...
AbstractWe study for two metrics j and d whether a plane domain D⊊︀C for which there exists a consta...
Ever since the pioneering works of Carleson [8] and Hunt-Wheeden [10, 11] for Lipschitz domains, a l...
The concept of an H-chain set in a doubling spaceX, which generalizes that of a Hölder domain in Euc...
The concept of an H-chain set in a doubling spaceX, which generalizes that of a Hölder domain in Euc...
We derive a decomposition result for regular, two-dimensional domains into John domains with uniform...
A domain D in euclidean n-space $R\sp n$ is said to be a John Domain if there exist a point $x\sb0$ ...
We derive a decomposition result for regular, two-dimensional domains into John domains with uniform...
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