Boundary value problems for analytic functions in the class of Cauchy-type integrals with density in

We study the Riemann boundary value problem , for analytic functions in the class of analytic functions represented by the Cauchy-type integrals with density in the spaces with variable exponent. We consider both the case when the coefficient is piecewise continuous and it may be of a more general nature, admitting its oscillation. The explicit formulas for solutions in the variable exponent setting are given. The related singular integral equations in the same setting are also investigated. As an application there is derived some extension of the Szegö-Helson theorem to the case of variable exponents.

Repply to: Brito, A.C., Brotas, V., Caetano, M., Coutinho, T.P., Bordalo, A.A., Icely, J., Neto, J.M., Serôdio, J., Moita, T. (2012) "Defining phytoplankton class boundaries in Portuguese transitional waters: an evaluation of the ecological quality status according to the Water Framework Directive" [Ecological Indicators 19, 5-14]

We write to comment on the recently published paper “Defining phytoplankton class boundaries in Portuguese transitional waters: an evaluation of the ecological quality status according to the Water Framework Directive” (Brito et al., 2012). This paper presents an integrated methodology to analyse the ecological quality status of several Portuguese transitional waters, using phytoplanktonrelated metrics. One of the systems analysed, the Guadiana estuary in southern Portugal, is considered the most problematic estuary, with its upstream water bodies classified as Poor in terms of ecological status. We strongly disagree with this conclusion and we would like to raise awareness to some methodological constraints that, in our opinion, are the basis of such deceptive conclusions and should therefore not be neglected when using phytoplankton to assess the ecological status of natural waters.

Factoring in family freight forwarder company: case study

Each freight forwarder company must independently determine whether factoring is the right choice for them and if will pay off. If the factoring as a financial method would not be economically viable, it certainly would not exist. There are several different financing methods, which are more or less useful. However, not all of them are appropriate for every company, just like all buyers do not represent equal risks for the suppliers. The same buyer can pay one supplier within the agreed period, and not pay the other supplier at all. Still, the most important elements are the agreement made with the customer, the method of insuring ourselves and the method of monitoring the implementation of the agreements. Problems rarely occur overnight and that is why we have to constantly supervise our buyers; otherwise account receivables can occur. My thesis contributes to the ongoing research into how the use of factoring within the Slovenian economic environment can help a small freight forwarder company to grow. In effect, the specific characteristics of the Slovenian economic, legal and institutional environment make such an analysis an interesting one to explore. I used data from a family freight forwarder company TOP Hrvatin in drugi d.n.o. in order to establish future company growth by applying factoring as a right choice of financing. After applying all the data and preparing the company's financial plan, my results suggest that factoring is not the right choice for financing future investments for this particular freight forwarder business. Furthermore, the results even show that factoring is an extremely undeveloped financing method in Slovenia and that practically there is no legal base for its use.