Journal of the Australian Mathematical Society Series A Pure Mathematics and Statistics Volume 68 Issue 2

Journal Article

Stability and constant boundary-value problems of harmonic maps with potential

2009 Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics

doi:10.1017/S1446788700001907

AbstractLet M, N be Riemannian manifolds, f: M → N a harmonic map with potential H, namely, a smooth critical point of the functional EH(f) = ∫M[e(f)−H(f)], where e(f) is the energy density of f. Some results concerning the stability of these maps between spheres and any Riemannian manifold are...

LitStream

Journal Article

Transformation formula of higher order integrals

2009 Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics

doi:10.1017/S1446788700001919

AbstractBy using integration by parts and Stokes' formula the authors give a new definition of the Hadamard principal value of higher order singular integrals on the complex hypersphere in Cn. Then the transformation formula for the higher order singular integrals is deduced.

LitStream

Journal Article

About the zeros of some entire functions and their derivatives

2009 Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics

doi:10.1017/S1446788700001920

AbstractIn this article we localize the zeros of some polynomials and the derivatives of some entire functions of finite genus. If we put m = 1 in the condition of Theorem 1 we obtain the famous Obreshkoff Theorem which can be regarded as a ‘complex version’ of a well-known theorem due to...

LitStream

Journal Article

Ergodic behaviour of extreme values

2009 Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics

doi:10.1017/S1446788700001932

AbstractLet {Xn, n ≥ 1} be independent identically distributed random variables with a common non-degenerate distribution function F. For each n ≥ 1, denote Mn = max {X1,…, Xn}. Under certain conditions on F, there exist constants an > 0 and bn ∈ R such that . In this paper, we shall show that...

LitStream

Journal Article

Spectral and asymptotic properties of resolvent-dominated operators

2009 Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics

doi:10.1017/S1446788700001944

AbstractLet A and B be (not necessarily bounded) linear operators on a Banach lattice E such that |(s – B)-1x|≤ (s – A)-1|x| for all x in E and sufficiently large s ∈ R. The main purpose of this paper is to investigate the relation between the spectra σ(B) and σ(A) of B and A, respectively. We...

LitStream

Journal Article

Pseudo differential operators on local Hardy spaces on chébli-teimèche hypergroups

2009 Journal of the Australian Mathematical Society Series A Pure Mathematics and Statistics

doi:10.1017/S1446788700001956

AbstractIn this paper we consider pseudo differential operators on local Hardy spaces hp (0 < p ≤ 1) on Chébli-Trimèche hypergroups of exponential growth.

LitStream

Journal Article

Automatic continuity and second order cohomology

2009 Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics

doi:10.1017/S1446788700001968

AbstractMany Banach algebras A have the property that, although there are discontinuous homomorphisms from A into other Banach algebras, every homomorphism from A into another Banach algebra is automatically continuous on a dense subspace—preferably, a subalgebra—of A. Examples of such algebras...

LitStream

Journal Article

Sharkovskii's order and the stability of periodic points of maps of the interval

2009 Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics

doi:10.1017/S144678870000197X

AbstractLet f be a Cr (r ≥ 0) map from the interval [0, 1] into itself and m be a positive integer. This paper gives a sufficient and necessary condition under which the set of periodic points of period m disappears after a certain small Cr-perturbation.

LitStream

Journal Article

Essential ideals of incidence algebras

2009 Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics

doi:10.1017/S1446788700001981

AbstractIt is determined when there exists a minimal essential ideal, or minimal essential left ideal, in the incidence algebra of a locally finite partially ordered set defined over a commutative ring. When such an ideal exists, it is described.

LitStream

Journal Article

Loomis-sikorski theorem for σ-complete MV-algebras and ℓ-groups

2009 Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics

doi:10.1017/S1446788700001993

AbstractWe show that every σ-complete MV-algebra is an MV-σ-homomorphic image of some σ-complete MV- algebra of fuzzy sets, called a tribe, which is a system of fuzzy sets of a crisp set Ω containing 1Ω and closed under fuzzy complementation and formation of min {∑nfn, 1}. Since a tribe is a...

Get 20M+ Full-Text Papers For Less Than $1.50/day. Start a 14-Day Trial for You or Your Team.

Learn More →

Journal of the Australian Mathematical Society Series A Pure Mathematics and Statistics Volume 68 Issue 2

Related Journals:

Advanced Search

Get 20M+ Full-Text Papers For Less Than $1.50/day. Start a 14-Day Trial for You or Your Team.

Learn More →

Journal of the Australian Mathematical Society Series A Pure Mathematics and Statistics Volume 68 Issue 2

Related Journals:

Our policy towards the use of cookies