Now showing items 1-17 of 17
Boyd indices of Orlicz-Lorentz spaces
Orlicz-Lorentz spaces provide a common generalization of Orlicz spaces and Lorentz spaces. In this paper, we investigate their Boyd indices. Bounds on the Boyd indices in terms of the Matuszewska-Orlicz indices of the ...
Vector-valued weakly analytic measures
This paper studies properties of weakly analytic vector-valued measures, an area of study which is relatively unexplored, especially in comparison with scalar-valued measures.
Irrationality of Power Series for Various Number Theoretic Functions
We study formal power series whose coefficients are taken to be a variety of number theoretic functions, such as the Euler, Möbius and divisor functions. We show that these power series are irrational over ℤ [X], and we ...
On the Value Set of n! Modulo a Prime
We show that for infinitely many prime numbers p there are at least log log p/ log log log p distinct residue classes modulo p that are not congruent to n! for any integer n.
p-summing operators on injective tensor products of spaces
Let X, Y and Z be Banach spaces, and let Πp(Y,Z) (1 ≤ p < ∞) denote the space of p-summing operators from Y to Z. We show that, if X is a £∞-space, then a bounded linear operator T:X⊗εY→Z is 1-summing if and only if a ...
Decomposition of analytic measures on groups and measure spaces
This paper provides a new approach to proving generalizations of the F.&M. Riesz Theorem, for example, the result of Helson and Lowdenslager, the result of Forelli (and de Leeuw and Glicksberg), and more recent results of ...
The Author and the Person: Foucauldian Reflection on the Author in Knowledge Organization Systems
Based on Foucault's exploration of the author-function, the current study investigates knowledge organization systems' treatment of persons. FRBR and FRAD do well to extend the information in library authority records ...
The Gaussian cotype of operators from C(K)
We show that the canonical embedding C(K) to LΦ(μ) has Gaussian cotype p, where μ is a Radon probability measure on K, and Φ is an Orlicz function equivalent to tp(log t)p/2 for large t.
Congruences and Exponential Sums with the Euler Function
We give upper bounds for the number of solutions to congruences with the Euler function φ(n) and with the Carmichael function λ(n). We also give nontrivial bounds for certain exponential sums involving φ(n). Analogous ...
Organizational Structure and the Diversification Discount: Evidence from Commercial Banking
This paper provides evidence on organizational structure, geographic diversification, and performance at bank holding companies (BHCs). First, we show that a BHC's member banks benefit from access to the parent organization's ...
Can Entrepreneurship Be Taught?
Is entrepreneurship an innate ability or an acquired skill? Can entrepreneurial acumen be achieved and enhanced through education and training, or are certain people “born” to be entrepreneurs or to act entrepreneurially? ...
Electrochemical properties of carbon nanoparticles entrapped in silica matrix
(Electrochemical Society, 2008)
Carbon-based electrode materials have been widely used for many years for electrochemical charge storage, energy generation, and catalysis. We have developed an electrode material with high specific capacitance by entrapping ...
Disseminated chlorellosis in a dog
(American College of Veterinary Pathologists, 2009)
An adult dog with ataxia and a lingual mass, previously diagnosed as protothecosis, was euthanized. At the postmortem examination, the lingual mass, regions of the lungs and hilar lymph nodes, liver, mesenteric and sublumbar ...
Hahn's embedding theorem for orders and harmonic analysis on groups with ordered duals
Let G be a locally compact abelian group whose dual group Γ contains a Haar measurable order P. Using the order P we define the conjugate function operator on Lp(G), 1 ≤ p < ∞, as was done by Helson. We will show how to ...
On singular integral and martingale transforms
Linear equivalences of norms of vector-valued singular integral operators and vector-valued martingale transforms are studied. In particular, it is shown that the UMD(p)-constant of a Banach space X equals the norm of the ...
Bounds on the tail probability of u-statistics and quadratic forms
The authors announce a general tail estimate, called a decoupling inequality, for a symmetrized sum of non-linear k-correlations of n > k independent random variables.
Contraction and decoupling inequalities for multilinear forms and u-statistics
We prove decoupling inequalities for random polynomials in independent random variables with coefficients in vector space. We use various means of comparison, including rearrangement invariant norms (e.g., Orlicz and Lorentz ...