V r /2 t,p/2 is a scaled version of Gaussian measure with r p if 1 < p < 2 and r p ′ if 2 < p < ∞ with 1/p 1/p′ 1. Conversely if F is a holomorphic function which is in a “slightly” smaller space, namely L C, V r/2 t,p/2 , then it is shown that there is a function f ∈ L R, ρ such that e−tHf F. However, a single necessary and sufficient condition is obtained for the image of L2 R, ρp/2 under e−t...

It has recently become clear that both extracellular matrix (ECM) glycoproteins and various cell adhesion molecules (CAMs) can promote neurite outgrowth from primary neurons, though little is known of the intracellular mechanisms through which these signals are transduced. We have previously obtained evidence that protein kinase C function is an important part of the neuronal response to lamini...

The paper reports findings of a production experiment investigating the realisation of post-vocalic /r/ produced by native (L1) speakers of English and German and late second language (L2) learners of two varieties of English; one rhotic variety spoken in Belfast and one non-rhotic variety spoken in Oxford. The study aims to explore whether there is a difference in the realisation of post-vocal...

In this paper, we present an unexpected link between the Factorial Conjecture ([8]) and Furter’s Rigidity Conjecture ([13]). The Factorial Conjecture in dimension m asserts that if a polynomial f in m variables Xi over C is such that L(f) = 0 for all k ≥ 1, then f = 0, where L is the C-linear map from C[X1, · · · , Xm] to C defined by L(X l1 1 · · ·X lm m ) = l1! · · · lm!. The Rigidity Conject...

Rhythmic characteristics of speech vary between native and non-native speakers. Studies comparing the rhythmic properties of L1 and L2 speech based on rhythm metrics have shown that this relationship is far from straightforward. It seems evidently the case that the difference between native and non-native speech is a complex interaction of a variety of rhythmic cues (duration, F0 and intensity)...

Consider the Schrödinger operator A = −∆2 + V acting on space C ∞ 0 (D), where D is an open domain in R. The main purpose of this paper is to present the L∞(D, dx)-uniqueness for Schrödinger operators which is equivalent to the L1(D, dx)-uniqueness of weak solutions of the heat diffusion equation associated to the operator A.

We continue the investigation initiated in [8] of uniform L bounds for the family of bilinear Hilbert transforms Hα,β(f, g)(x) = p.v. ∫ R f(x − αt)g(x − βt) dt t . In this work we show that Hα,β map L1(R) × L2(R) into L(R) uniformly in the real parameters α, β satisfying | β − 1| ≥ c > 0 when 1 < p1, p2 < 2 and 2 3 < p = p1p2 p1+p2 < ∞. As a corollary we obtain L × L∞ → L uniform bounds in the ...

     This project investigates the relationship between lexical semantics and causative morphology in the acquisition of causative/inchoative-related verbs in English as a foreign language by Iranian speakers. Results of translation and picture judgment task show although L2 learners have largely acquired the correct lexico-syntactic classification of verbs in English, they were constrained by ...

Abstract Task-based language teaching has received increased attention in second language research. However, the combination of structured input-based approach and task-based language teaching has not been examined in relation to L2 grammar learning. To address this gap, the present study investigated how the structured input-based tasks with and without explicit information impacted learners’ ...