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Regular domains in homogeneous groups
 Trans. Amer. Math. Soc
"... Abstract. We study John, uniform and nontangentially accessible domains in homogeneous groups of steps 2 and 3. We show that C 1,1 domains in groups of step 2 are nontangentially accessible and we give an explicit condition which ensures the John property in groups of step 3. 1. ..."
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Cited by 14 (3 self)
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Abstract. We study John, uniform and nontangentially accessible domains in homogeneous groups of steps 2 and 3. We show that C 1,1 domains in groups of step 2 are nontangentially accessible and we give an explicit condition which ensures the John property in groups of step 3. 1.
Extremal Widths on Homogeneous Groups
, 2003
"... We define the extremal length and extremal width of horizontal vector measures on homogeneous groups and study capacities and modules associated with subelliptic equations. Coincidence between various modules of horizontal vector measure systems and some specific definitions of capacity is proved. ..."
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We define the extremal length and extremal width of horizontal vector measures on homogeneous groups and study capacities and modules associated with subelliptic equations. Coincidence between various modules of horizontal vector measure systems and some specific definitions of capacity is proved
kHomogeneous Groups
 MATH Z.
, 1972
"... A permutation group is called khomogeneous if it is transitive on the ksets of permuted points. Theorem 1. Let G be a group khomogeneous but not ktransitive on a finite set f2 of n points, where n>=2k. Then, up to permutation isomorphism, one of the ..."
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Cited by 18 (3 self)
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A permutation group is called khomogeneous if it is transitive on the ksets of permuted points. Theorem 1. Let G be a group khomogeneous but not ktransitive on a finite set f2 of n points, where n>=2k. Then, up to permutation isomorphism, one of the
Duals of Hardy spaces on homogeneous groups
, 2007
"... Hardy spaces on homogeneous groups were introduced and studied by Folland and Stein [3]. The purpose of this note is to show that duals of Hardy spaces Hp, 0 < p ≤ 1, on homogeneous groups can be identified with Morrey–Campanato spaces. This closes a gap in the original proof of this fact in [3]. ..."
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Hardy spaces on homogeneous groups were introduced and studied by Folland and Stein [3]. The purpose of this note is to show that duals of Hardy spaces Hp, 0 < p ≤ 1, on homogeneous groups can be identified with Morrey–Campanato spaces. This closes a gap in the original proof of this fact in [3
BILINEAR OPERATORS ON HOMOGENEOUS GROUPS
"... Let H p denote the Lebesgue space L p for p>1 and the Hardy space H p for p ≤ 1. For 0 <p,q,r<∞, we study H p × H q → H r mapping properties of bilinear operators given by finite sums of products of Calderón–Zygmund operators on stratified homogeneous Lie groups. When r ≤ 1, we show that su ..."
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Let H p denote the Lebesgue space L p for p>1 and the Hardy space H p for p ≤ 1. For 0 <p,q,r<∞, we study H p × H q → H r mapping properties of bilinear operators given by finite sums of products of Calderón–Zygmund operators on stratified homogeneous Lie groups. When r ≤ 1, we show
The homogeneous coordinate ring of a toric variety
, 1992
"... This paper will introduce the homogeneous coordinate ring S of a toric variety X. The ring S is a polynomial ring with one variable for each onedimensional cone in the fan ∆ determining X, and S has a natural grading determined by the monoid of effective divisor classes in the Chow group An−1(X) of ..."
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Cited by 472 (7 self)
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This paper will introduce the homogeneous coordinate ring S of a toric variety X. The ring S is a polynomial ring with one variable for each onedimensional cone in the fan ∆ determining X, and S has a natural grading determined by the monoid of effective divisor classes in the Chow group An−1(X
HOMOGENEITY GROUPS OF ENDS OF OPEN 3MANIFOLDS
"... Abstract. For every finitely generated abelian group G, we construct an irreducible open 3manifold MG whose end set is homeomorphic to a Cantor set and with end homogeneity group of MG isomorphic to G. The end homogeneity group is the group of selfhomeomorphisms of the end set that extend to hom ..."
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Abstract. For every finitely generated abelian group G, we construct an irreducible open 3manifold MG whose end set is homeomorphic to a Cantor set and with end homogeneity group of MG isomorphic to G. The end homogeneity group is the group of selfhomeomorphisms of the end set that extend
Does Social Capital Have an Economic Payoff? A CrossCountry Investigation
 Quarterly Journal of Economics
, 1997
"... This paper presents evidence that “social capital ” matters for measurable economic performance, using indicators of trust and civic norms from the World Values Surveys for a sample of 29 market economies. Memberships in formal groups—Putnam’s measure of social capital—is not associated with trust o ..."
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Cited by 1346 (9 self)
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This paper presents evidence that “social capital ” matters for measurable economic performance, using indicators of trust and civic norms from the World Values Surveys for a sample of 29 market economies. Memberships in formal groups—Putnam’s measure of social capital—is not associated with trust
Results 1  10
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813,413