Let Ω be a strictly pseudoconvex domain in C n with C k+2 boundary, k ≥ 1. We construct a ∂ solution operator (depending on k) that gains 1 2 derivative in the Sobolev space H s,p (Ω) for any 1 < p < ∞ and s > 1 p − k. If the domain is C ∞ , then there exists a ∂ solution operator that gains 1 2 derivative in H s,p (Ω) for all s ∈ R. We obtain our solution operators through the method of homotopy formula; a new feature is the construction of "anti-derivative operators" on distributions defined on bounded Lipschitz domains.

Tectorigenin (Te) is a main active component in the flowers of Pueraria thomsonii Benth. and the rhizomes of Belamcanda chinensis (L.) DC. Previously, we have reported the pharmacokinetic properties of Te in rat plasma. The purpose of this study was to investigate the urinary excretion of Te after oral administration to rats at different dose levels. Using UHPLC/Q-TOFMS, totally 26 metabolites were detected in rat urine after oral administration of Te at dose of 65 and 130 mg/kg. Among them, nine metabolites, Te, tectorigenin-7-O-glucuronide-4'-sulfate (Te-7G-4'S), tectorigenin-7-O-glucuronide (Te-7G), tectorigenin-7-O-sulfate (Te-7S), tectorigenin-4'-O-glucuronide (Te-4'S), isotectorigenin, genistein, irisolidone-7-O-glucuronide (Ir-7G), and irisolidone, were identified by comparing the retention time, UV and MS spectra with those of authentic standards. A UHPLC/Q-TOFMS method for simultaneous quantification and semi-quantification of all the metabolites in urine was developed. The cumulative urinary excretions of Te and the major metabolite Te-7G were 1.99 and 5.80 μmol at 65 mg/kg, 3.05 and 6.48 μmol at 130 mg/kg, accounted for 4.17 % and 15.8, 2.81 and 9.49 % of administrated Te, respectively. The excretion rates of Te-7G, Te-7G-4'S, Ir-7G, and Te reached a maximum between 12 and 24 h after oral dosing at 65 and 130 mg/kg. The cumulative urine excretion rates of Te were 23.1 and 20.1 % within 72 h at 65 and 130 mg/kg, respectively. These results suggested that the glucuronidation was the primary metabolic pathway especially at low dose level.

We prove a homotopy formula which yields almost optimal estimates in all (positiveindexed) Sobolev and Hölder-Zygmund spaces for the ∂ equation on finite type domains in C 2 , extending the earlier results of Fefferman-Kohn (1988), Chang-Nagel-Stein (1992), and Range (1992). The main novelty of our proof is the construction of holomorphic support functions that admit precise estimates when the parameter variable lies in a thin shell outside the domain, which generalizes Range's method.

Given a bounded Lipschitz domain Ω ⊂ R n , Rychkov showed that there is a linear extension operator E for Ω which is bounded in Besov and Triebel-Lizorkin spaces. In this paper we introduce a class of operators that generalize E which are more versatile for applications. We also derive some quantitative smoothing estimates of the extended function and all its derivatives in Ω c up to boundary.

Abstract-This paper introduces the construction Business Japanese E-learning courses. By language "ASP.NET" and database tool "SQL", the E-learning Course is designed and established. Two platforms, namely, the front platform which acts as the interface with students, and the back platform which acts as the interface with teachers and administrators, are constructed with several modules each. This Business Japanese E-learning Course aims at enriching students' Business Japanese knowledge and enhancing their autonomous learning abilities, which also acts as the teachers' effective assistant. The teaching mode discussed in this paper also aims at providing a possible direction for conducting other subjects on campus.