We prove weighted norm inequalities for pseudodifferential operators with amplitudes which are only measurable in the spatial variables. The result is sharp, even for smooth amplitudes. Nevertheless, in the case when the amplitude contains the oscillatory factor ξ 7→ ei|ξ| , the result can be substantially improved. We extend the Lpboundedness of pseudo-pseudodifferential operators to certain w...

We present a comprehensive analysis of form factors for two light pseudoscalar mesons induced by scalar, vector, and tensor quark operators. The theoretical framework is based on combination unitarized chiral perturbation theory dispersion relations. low-energy constants in are fixed global fit to the available data two-meson scattering phase shifts. Each factor derived from improved iterativel...

Theoretical predictions of several measurable quantities, which are relevant in K-, Dand Bmeson phenomenology, depend on the matrix elements of some ∆F = 2 four-fermion operators. Examples are given by FCNC effects in SUSY extensions of the Standard Model [1]-[2], by the B s– B̄ s width difference [3] and by the O(1/m 3 b) corrections in inclusive b-hadron decay rates (which actually depend on t...

We develop the theory of categories of measurable fields of Hilbert spaces and bounded fields of operators. We examine classes of functors and natural transformations with good measure theoretic properties, providing in the end a rigorous construction for the bicategory used in [4] and [3] as the basis for a representation theory of (Lie) 2-groups. Two important technical results are establishe...

we first characterize $tau$-complemented modules with relative (pre)-covers. we also introduce an extending module relative to $tau$-pure submodules on a hereditary torsion theory $tau$ and give its relationship with $tau$-complemented modules.

The Tau Method produces polynomial approximations of solutions of differential equations. The purpose of this paper is (i) to extend the recursive formulation of this method to general linear operator equations defined in a separable Hilbert space, and (ii) to develop an iterative refinement procedure which improves on the accuracy of Tau approximations. Applications to Fredholm integral equati...

In this paper, we introduce the notions of expansion of ideals in $MV$-algebras, $ (tau,sigma)- $primary, $ (tau,sigma)$-obstinate  and $ (tau,sigma)$-Boolean  in $ MV- $algebras. We investigate the relations of them. For example, we show that every $ (tau,sigma)$-obstinate ideal of an $ MV-$ algebra is $ (tau,sigma)$-primary  and $ (tau,sigma)$-Boolean. In particular, we define an expansion $ ...

Background Serum cytoskeletal biomarkers may indicate greater risk of poor outcomes in age-related conditions, including mortality. Total tau (t-tau), neurofilament light (Nf-L) and glial fibrillary acidic protein (GFAP) are neuronal that measurable biofluids. Our objective is to examine separate combined associations serum t-tau, Nf-L, GFAP with overall cardiovascular mortality a biracial popu...