Soil classification systems are not consistent among countries or organizations thereby hindering the communication and organizational functions they are intended to promote. The development of translations between systems will be critical for overcoming the gap in understanding that has resulted from the lack of a single internationally accepted classification system. This paper describes the application of a process that resulted in the translation of the Genetic Soil Classification of China (GSCC) to Soil Taxonomy (ST). A brief history of soil classification in China is also provided to familiarize readers with GSCC and its origins. Genetic Soil Classification of China is the attribute base for the recently assembled digital form of the 1:1 000 000 soil map of The People's Republic of China. The translation between GSCC and ST was based on profile, chemical, and physical descriptions of 2540 soil series. First, the 2540 soil series were classified to their equivalent soil order, suborder, great group, and subgroup according to ST and GSCC subgroup descriptors. Order names for both classification systems were then linked to corresponding map units in the 1:1 000 000 digital soil map of China using a geographic information system (GIS). Differences in classification criteria and in the number of orders of the two systems (there are more GSCC orders than ST orders) meant that each GSCC order could possibly be assigned to more than one ST order. To resolve the differences, the percent correspondence in area between orders was determined and used as the criterion for assigning GSCC orders to ST orders. Some percentages of correspondence were low so additional processing was used to improve the assignment process. The GSCC suborders were then matched with ST orders. When the area for each order was summarized, the percentage of correspondence increased except for two subgroups in the Ferrasols order.

No abstract

Let µ be a positive Radon measure on R d which may be non doubling. The only condition that µ must satisfy is µ(B(x, r)) ≤ Cr n for all x ∈ R d , r > 0 and some fixed constants C > 0 and n ∈ (0, d]. In this paper, we introduce the Marcinkiewicz integral related to a such measure with kernel satisfying some Hörmander-type condition, and assume that it is bounded on L 2 (µ). We then establish its boundedness, respectively, from the Lebesgue space L 1 (µ) to the weak Lebesgue space L 1,∞ (µ), from the Hardy space H 1 (µ) to L 1 (µ) and from the Lebesgue space L ∞ (µ) to the space RBLO(µ). As a corollary, we obtain the boundedness of the Marcinkiewicz integral in the Lebesgue space L p (µ) with p ∈ (1, ∞). Moreover, we establish the boundedness of the commutator generated by the RBMO(µ) function and the Marcinkiewicz integral with kernel satisfying certain slightly stronger Hörmander-type condition, respectively, from L p (µ) with p ∈ (1, ∞) to itself, from the space L log L(µ) to L 1,∞ (µ) and from H 1 (µ) to L 1,∞ (µ). Some of the results are also new even for the classical Marcinkiewicz integral. Mathematics Subject Classification (2000). Primary 42B25; Secondary 47B47, 42B20, 47A30.

Let (X , d, µ) be a metric measure space satisfying both the geometrically doubling and the upper doubling conditions. Let ρ ∈ (1, ∞), 0 < p 1 q ∞, p = q, γ ∈ [1, ∞) and ǫ ∈ (0, ∞). In this article, the authors introduce the atomic Hardy space H p, q, γ atb, ρ (µ) and the molecular Hardy space H p, q, γ, ǫ mb, ρ (µ) via the discrete coefficient K (ρ), p B, S , and prove that the Calderón-Zygmund operator is bounded fromThe authors also introduce the ρ-weakly doubling condition, with ρ ∈ (1, ∞), of the measure µ and construct a non-doubling measure µ satisfying this condition. If µ is ρ-weakly doubling, the authors further introduce the Campanato space E α, q ρ, η, γ (µ) and show that E

Let (X , d, μ) be a metric measure space satisfying the so-called upper doubling condition and the geometrically doubling condition. In this paper, we introduce the space RBLO(μ) and prove that it is a subset of the known space RBMO(μ) in this context. Moreover, we establish several useful characterizations for the space RBLO(μ). As an application, we obtain the boundedness of the maximal Calderón-Zygmund operators from L ∞ (μ) to RBLO(μ).