Special John-Nirenberg-Campanato spaces via congruent cubes

Let p ∈ [1, ∞), q ∈ [1, ∞), α∈ R, and s be a non-negative integer. Inspired by the space JNp introduced by John and Nirenberg(1961) and the space B introduced by Bourgain et al.(2015), we introduce a special John-Nirenberg-Campanato space JN^con_(p,q,s) over Rⁿ or a given cube of R;with finite side length via congruent subcubes, which are of some amalgam features. The limit space of such spaces as p →∞ is just the Campanato space which coincides with the space BMO(the space of functions with bounded mean oscillations)when α = 0. Moreover, a vanishing subspace of this new space is introduced, and its equivalent characterization is established as well, which is a counterpart of the known characterization for the classical space VMO(the space of functions with vanishing mean oscillations) over Rⁿ or a given cube of Rⁿ with finite side length.Furthermore, some VMO-H¹-BMO-type results for this new space are also obtained, which are based on the aforementioned vanishing subspaces and the Hardy-type space defined via congruent cubes in this article. The geometrical properties of both the Euclidean space via its dyadic system and congruent cubes play a key role in the proofs of all these results.     

2种煤液化残渣氧化萃余物中杂原子化合物的鉴定

在40℃恒温水浴下用次氯酸钠对2种煤液化残渣进行氧化,将反应所得混合物用滤膜过滤,滤出液依次用石油醚、二硫化碳、四氯化碳和乙酸乙酯萃取,得到的萃取物用气相色谱/质谱(GC/MS)分析.根据分析结果系统地考察了2种煤液化残渣中所含杂原子化合物的分布,为从煤液化残渣中选择性地脱除这些杂原子化合物及提取高附加值化学品提供了一条路径.     

New Develoopment of the Basic Theory of Extenics

In this paper,the new development of three basic theories of Extenics,incluing basic-element theory,extension set theory and extension logic theory ,has been introduced.And the new theoretical frame of Extenics has also been set forth.