期刊： JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 2021; 110 (3)
Let A be a semisimple Banach algebra with minimal left ideals and soc(A) be the socle of A. We prove that if soc(A) is an essential ideal of A, then e......
期刊： JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 2021; 111 (2)
For positive integers n and k, let r(k)(n) denote the number of representations of n as a sum of k squares, where representations with different order......
期刊： JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 2021; 110 (1)
Let V be a hypersurface with an isolated singularity at the origin defined by the holomorphic function f : (C-n, 0) -> (C, 0). The Yau algebra L(V)......
期刊： JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 2020; 109 (3)
Let T-1, T-2 be two Calderon-Zygmund operators and T-1,T-b be the commutator of T-1 with symbol b is an element of BMO(R-n). In this paper, by establi......
期刊： JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 2020; 108 (3)
For every element x of a finite group G, there always exists a unique minimal subnormal subgroup, say, G(x) of G such that x\in G(x). The sub-class of......
期刊： JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 2020; 108 (3)
In this paper we classify the finite solvable groups in which distinct nonlinear monomial characters have distinct degrees.
期刊： JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 2020; 108 (3)
Let A = circle plus(i is an element of Z) A(i) be a finite-dimensional graded symmetric cellular algebra with a homogeneous symmetrizing trace of degr......
期刊： JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 2020; 109 (2)
On a compact Lie group G of dimension n, we study the Bochner-Riesz mean S-R(alpha)(f) of the Fourier series for a function f. At the critical index a......
期刊： JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 2020; 108 (1)
For x 2 (0; 1] and a positive integer n; let Sn(x) denote the summation of the first n digits in the dyadic expansion of x and let rn(x) denote the ru......
期刊： JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 2019; 106 (1)
For the class of self-similar measures in R-d with overlaps that are essentially of finite type, we set up a framework for deriving a closed formula f......
期刊： JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 2019; 106 (1)
Let D-mu be Dirichlet spaces with superharmonic weights induced by positive Borel measures mu on the open unit disk. Denote by M(D-mu) Mobius invarian......
期刊： JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 2019; 106 (2)
In this paper, we focus on the multivariate Hausdorff operator of the form H-Phi(f)(x) = integral((0,+infinity)n) Phi(x(1)/t(1), x(2)/t(2),...,x(n)/t(......
期刊： JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 2019; 107 (1)
Denote by P the set of all prime numbers and by P(n) the largest prime factor of positive integer n >= 1 with the convention P(1) = 1. In this pape......
期刊： JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 2019; 107 (1)
In 1991, Andrews and Hickerson established a new Bailey pair and combined it with the constant term method to prove some results related to sixth-orde......
期刊： JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 2019; 107 (3)
Let p(n)(x) = integral(infinity)(0)J(0)(xt)[J(0)(t)](n) xt dt be Kluyver's probability density for n-step uniform random walks in the Euclidean plane.......
