Herz-Type Hardy Spaces for the Dunkl Operator on the Real Line

2000 Mathematics Subject Classification: Primary 46F12, Secondary 44A15, 44A35We introduce some new weighted Herz spaces associated with the Dunkl operator on R. Also we characterize by atomic decompositions the corresponding Herz-type Hardy spaces. As applications we investigate the Dunkl transform on these spaces and establish a version of Hardy inequality for this transform.* The authors are supported by the DGRST research project 04/UR/15-02

Convolution Operators and Bochner-Riesz Means on Herz-Type Hardy Spaces in the Dunkl Setting

We study the Dunkl convolution operators on Herz-type Hardy spaces ℋα,2p and we establish a version of multiplier theorem for the maximal Bochner-Riesz operators on the Herz-type Hardy spaces ℋα,∞p

A Study of a Bi-Phasic Flow Problem in Porous Media

Abstract In this paper, we develop a simplified formulation of the hydrocarbon system used for the petroleum reservoirs simulation.This system is a simplified model which describes a two-phase flow (oil and gas) with a mass transfer in a porous medium, that leads to the fluid compressibility.this kind of flow is modelled by a system of parabolic degenerated non linear convection-diffusion equations.Under certrain hypothesis, such as validity of Darcy's law, incompressibility of the porous medium, compressibility of the fluids, mass transfer between the oil and the gas and negligible gravity, the global pressure is formulated.This formulation allows the establishment of theoretical results on the existence and uniquness of the solution. Mathematics Subject Classification: 76D07, 76M2

Welfare effects of unbundling under different regulatory regimes in natural gas markets

In this paper, we develop a theoretical model that enriches the literature on the pros and cons of ownership unbundling vis-a`-vis lighter unbundling frameworks in the natural gas markets. For each regulatory framework, we compute equilibrium outcomes when an incumbent firm and a new entrant compete a` la Cournot in the final gas market. We find that the entrant’s contracting conditions in the upstream market and the transmission tariff are key determinants of the market structure in the downstream gas market (both with ownership and with legal unbundling). We also study how the regulator must optimally set transmission tariffs in each of the two unbundling regimes. We conclude that welfare maximizing tariffs often require free access to the transmission network (in both regulatoy regimes). However, when the regulator aims at promoting the break-even of the regulated transmission system operator, the first-best tariff is unfeasible in both regimes. Hence, we study a more realistic set-up, in which the regulator’s action is constrained by the break-even of the regulated firm (the transmission system operator). In this set-up, we find that, for a given transmission tariff, final prices in the downstream market are always higher with ownership unbundling than with legal unbundling.info:eu-repo/semantics/publishedVersio

Pharmacogenetic profiling and cetuximab outcome in patients with advanced colorectal cancer

<p>Abstract</p> <p>Background</p> <p>We analyzed the influence of 8 germinal polymorphisms of candidate genes potentially related to EGFR signalling (<it>EGFR</it>, <it>EGF</it>, <it>CCND1</it>) or antibody-directed cell cytotoxicity (<it>FCGR2A </it>and <it>FCGR3A</it>) on outcome of colorectal cancer (CRC) patients receiving cetuximab-based therapy.</p> <p>Methods</p> <p>Fifty-eight advanced CRC patients treated with cetuximab-irinotecan salvage therapy between 2001 and 2007 were analyzed (mean age 60; 50 PS 0-1). The following polymorphisms were analyzed on blood DNA: <it>EGFR </it>(CA repeats in intron 1, -216 G > T, -191C > A, R497K), <it>EGF </it>(A61G), <it>CCND1 </it>(A870G), <it>FCGR2A </it>(R131H), <it>FCGR3A </it>(F158V). Statistical analyses were conducted on the total population and on patients with wt KRas tumors. All SNPs were considered as ternary variables (wt/wt <it>vs </it>wt/mut <it>vs </it>mut/mut), with the exception of -191C > A <it>EGFR </it>polymorphism (AA patient merged with CA patients).</p> <p>Results</p> <p>Analysis of skin toxicity as a function of EGFR intron 1 polymorphism showed a tendency for higher toxicity in patients with a low number of CA-repeats (p = 0.058). <it>CCND1 </it>A870G polymorphism was significantly related to clinical response, both in the entire population and in KRas wt patients, with the G allele being associated with a lack of response. In wt KRas patients, time to progression (TTP) was significantly related to <it>EGFR </it>-191C > A polymorphism with a longer TTP in CC patients as compared to others, and to <it>CCND1 </it>A870G polymorphism with the G allele being associated with a shorter TTP; a multivariate analysis including these two polymorphisms only retained <it>CCND1 </it>polymorphism. Overall survival was significantly related to <it>CCND1 </it>polymorphism with a shorter survival in patients bearing the G allele, and to <it>FCGR3A </it>F158V polymorphism with a shorter survival in VV patients (in the entire population and in KRas wt patients). <it>FCGR3A </it>F158V and <it>CCND1 </it>A870G polymorphisms were significant independent predictors of overall survival.</p> <p>Conclusions</p> <p>Present original data obtained in wt KRas patients corresponding to the current cetuximab-treated population clearly suggest that <it>CCND1 </it>A870G polymorphism may be used as an additional marker for predicting cetuximab efficacy, TTP and overall survival. In addition, <it>FCGR3A </it>F158V polymorphism was a significant independent predictor of overall survival.</p

Phylogenetically Widespread Polyembryony in Cyclostome Bryozoans and the Protracted Asynchronous Release of Clonal Brood-Mates

The file attached is the Published/publisher’s pdf version of the articl

Metabarcoding analysis on European coastal samples reveals new molecular metazoan diversity

Although animals are among the best studied organisms, we still lack a full description of their diversity, especially for microscopic taxa. This is partly due to the time-consuming and costly nature of surveying animal diversity through morphological and molecular studies of individual taxa. A powerful alternative is the use of high-throughput environmental sequencing, providing molecular data from all organisms sampled. We here address the unknown diversity of animal phyla in marine environments using an extensive dataset designed to assess eukaryotic ribosomal diversity among European coastal locations. A multi-phylum assessment of marine animal diversity that includes water column and sediments, oxic and anoxic environments, and both DNA and RNA templates, revealed a high percentage of novel 18S rRNA sequences in most phyla, suggesting that marine environments have not yet been fully sampled at a molecular level. This novelty is especially high among Platyhelminthes, Acoelomorpha, and Nematoda, which are well studied from a morphological perspective and abundant in benthic environments. We also identified, based on molecular data, a potentially novel group of widespread tunicates. Moreover, we recovered a high number of reads for Ctenophora and Cnidaria in the smaller fractions suggesting their gametes might play a greater ecological role than previously suspected